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Finding the Fourth Proportional to 765.17, 1,146.54 and 592.27

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Solution

The fourth proportional to 765.17, 1,146.54 and 592.27 is: 887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.17 : 1,146.54 = 592.27 : x
  2. Step 2: Convert to fraction form
    765.17/1,146.54 = 592.27/x
  3. Step 3: Cross multiply
    765.17x = 1,146.54 × 592.27
  4. Step 4: Simplify right side
    765.17x = 679,061.25
  5. Step 5: Solve for x
    x = 679,061.25/765.17
  6. Step 6: Final answer
    x = 887.46

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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.