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Finding the Fourth Proportional to 765.81, 1,146.56 and 534.15

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Solution

The fourth proportional to 765.81, 1,146.56 and 534.15 is: 799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.81 : 1,146.56 = 534.15 : x
  2. Step 2: Convert to fraction form
    765.81/1,146.56 = 534.15/x
  3. Step 3: Cross multiply
    765.81x = 1,146.56 × 534.15
  4. Step 4: Simplify right side
    765.81x = 612,432.35
  5. Step 5: Solve for x
    x = 612,432.35/765.81
  6. Step 6: Final answer
    x = 799.72

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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.