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Finding the Fourth Proportional to 938.34, 1,294.74 and 545.40

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Solution

The fourth proportional to 938.34, 1,294.74 and 545.40 is: 752.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.34 : 1,294.74 = 545.40 : x
  2. Step 2: Convert to fraction form
    938.34/1,294.74 = 545.40/x
  3. Step 3: Cross multiply
    938.34x = 1,294.74 × 545.40
  4. Step 4: Simplify right side
    938.34x = 706,151.20
  5. Step 5: Solve for x
    x = 706,151.20/938.34
  6. Step 6: Final answer
    x = 752.55

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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.