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Finding the Fourth Proportional to 767.28, 1,149.92 and 584

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Solution

The fourth proportional to 767.28, 1,149.92 and 584 is: 875.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.28 : 1,149.92 = 584 : x
  2. Step 2: Convert to fraction form
    767.28/1,149.92 = 584/x
  3. Step 3: Cross multiply
    767.28x = 1,149.92 × 584
  4. Step 4: Simplify right side
    767.28x = 671,553.28
  5. Step 5: Solve for x
    x = 671,553.28/767.28
  6. Step 6: Final answer
    x = 875.24

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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.