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Finding the Fourth Proportional to 742.72, 1,024.32 and 567.68

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Solution

The fourth proportional to 742.72, 1,024.32 and 567.68 is: 782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.72 : 1,024.32 = 567.68 : x
  2. Step 2: Convert to fraction form
    742.72/1,024.32 = 567.68/x
  3. Step 3: Cross multiply
    742.72x = 1,024.32 × 567.68
  4. Step 4: Simplify right side
    742.72x = 581,485.98
  5. Step 5: Solve for x
    x = 581,485.98/742.72
  6. Step 6: Final answer
    x = 782.91

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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.