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Finding the Fourth Proportional to 930.19, 1,283.25 and 598.49

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Solution

The fourth proportional to 930.19, 1,283.25 and 598.49 is: 825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.19 : 1,283.25 = 598.49 : x
  2. Step 2: Convert to fraction form
    930.19/1,283.25 = 598.49/x
  3. Step 3: Cross multiply
    930.19x = 1,283.25 × 598.49
  4. Step 4: Simplify right side
    930.19x = 768,012.29
  5. Step 5: Solve for x
    x = 768,012.29/930.19
  6. Step 6: Final answer
    x = 825.65

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.