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Finding the Fourth Proportional to 938.89, 1,407.07 and 500.07

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Solution

The fourth proportional to 938.89, 1,407.07 and 500.07 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.89 : 1,407.07 = 500.07 : x
  2. Step 2: Convert to fraction form
    938.89/1,407.07 = 500.07/x
  3. Step 3: Cross multiply
    938.89x = 1,407.07 × 500.07
  4. Step 4: Simplify right side
    938.89x = 703,633.49
  5. Step 5: Solve for x
    x = 703,633.49/938.89
  6. Step 6: Final answer
    x = 749.43

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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.