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Finding the Fourth Proportional to 765.30, 1,146.74 and 592.39

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Solution

The fourth proportional to 765.30, 1,146.74 and 592.39 is: 887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.30 : 1,146.74 = 592.39 : x
  2. Step 2: Convert to fraction form
    765.30/1,146.74 = 592.39/x
  3. Step 3: Cross multiply
    765.30x = 1,146.74 × 592.39
  4. Step 4: Simplify right side
    765.30x = 679,311.48
  5. Step 5: Solve for x
    x = 679,311.48/765.30
  6. Step 6: Final answer
    x = 887.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.