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Finding the Fourth Proportional to 938.16, 1,294.66 and 512.80

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Solution

The fourth proportional to 938.16, 1,294.66 and 512.80 is: 707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,294.66 = 512.80 : x
  2. Step 2: Convert to fraction form
    938.16/1,294.66 = 512.80/x
  3. Step 3: Cross multiply
    938.16x = 1,294.66 × 512.80
  4. Step 4: Simplify right side
    938.16x = 663,898.23
  5. Step 5: Solve for x
    x = 663,898.23/938.16
  6. Step 6: Final answer
    x = 707.66

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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.