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Finding the Fourth Proportional to 938.10, 1,407.56 and 504.76

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Solution

The fourth proportional to 938.10, 1,407.56 and 504.76 is: 757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.10 : 1,407.56 = 504.76 : x
  2. Step 2: Convert to fraction form
    938.10/1,407.56 = 504.76/x
  3. Step 3: Cross multiply
    938.10x = 1,407.56 × 504.76
  4. Step 4: Simplify right side
    938.10x = 710,479.99
  5. Step 5: Solve for x
    x = 710,479.99/938.10
  6. Step 6: Final answer
    x = 757.36

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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.