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Finding the Fourth Proportional to 938.20, 1,403.70 and 614.20

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Solution

The fourth proportional to 938.20, 1,403.70 and 614.20 is: 918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.20 : 1,403.70 = 614.20 : x
  2. Step 2: Convert to fraction form
    938.20/1,403.70 = 614.20/x
  3. Step 3: Cross multiply
    938.20x = 1,403.70 × 614.20
  4. Step 4: Simplify right side
    938.20x = 862,152.54
  5. Step 5: Solve for x
    x = 862,152.54/938.20
  6. Step 6: Final answer
    x = 918.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.