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Finding the Fourth Proportional to 742.71, 1,024.26 and 637.76

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Solution

The fourth proportional to 742.71, 1,024.26 and 637.76 is: 879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.71 : 1,024.26 = 637.76 : x
  2. Step 2: Convert to fraction form
    742.71/1,024.26 = 637.76/x
  3. Step 3: Cross multiply
    742.71x = 1,024.26 × 637.76
  4. Step 4: Simplify right side
    742.71x = 653,232.06
  5. Step 5: Solve for x
    x = 653,232.06/742.71
  6. Step 6: Final answer
    x = 879.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.