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Finding the Fourth Proportional to 938.16, 1,294.64 and 518.52

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Solution

The fourth proportional to 938.16, 1,294.64 and 518.52 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,294.64 = 518.52 : x
  2. Step 2: Convert to fraction form
    938.16/1,294.64 = 518.52/x
  3. Step 3: Cross multiply
    938.16x = 1,294.64 × 518.52
  4. Step 4: Simplify right side
    938.16x = 671,296.73
  5. Step 5: Solve for x
    x = 671,296.73/938.16
  6. Step 6: Final answer
    x = 715.55

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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.