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Finding the Fourth Proportional to 930.26, 1,283.82 and 598.70

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Solution

The fourth proportional to 930.26, 1,283.82 and 598.70 is: 826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.26 : 1,283.82 = 598.70 : x
  2. Step 2: Convert to fraction form
    930.26/1,283.82 = 598.70/x
  3. Step 3: Cross multiply
    930.26x = 1,283.82 × 598.70
  4. Step 4: Simplify right side
    930.26x = 768,623.03
  5. Step 5: Solve for x
    x = 768,623.03/930.26
  6. Step 6: Final answer
    x = 826.25

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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.