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Finding the Fourth Proportional to 765.11, 1,146.47 and 592.20

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Solution

The fourth proportional to 765.11, 1,146.47 and 592.20 is: 887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.11 : 1,146.47 = 592.20 : x
  2. Step 2: Convert to fraction form
    765.11/1,146.47 = 592.20/x
  3. Step 3: Cross multiply
    765.11x = 1,146.47 × 592.20
  4. Step 4: Simplify right side
    765.11x = 678,936.57
  5. Step 5: Solve for x
    x = 678,936.57/765.11
  6. Step 6: Final answer
    x = 887.37

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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.