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Finding the Fourth Proportional to 930.53, 1,283.76 and 598.92

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Solution

The fourth proportional to 930.53, 1,283.76 and 598.92 is: 826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.53 : 1,283.76 = 598.92 : x
  2. Step 2: Convert to fraction form
    930.53/1,283.76 = 598.92/x
  3. Step 3: Cross multiply
    930.53x = 1,283.76 × 598.92
  4. Step 4: Simplify right side
    930.53x = 768,869.54
  5. Step 5: Solve for x
    x = 768,869.54/930.53
  6. Step 6: Final answer
    x = 826.27

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Double scale
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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.