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Finding the Fourth Proportional to 766.80, 1,148.46 and 534.60

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Solution

The fourth proportional to 766.80, 1,148.46 and 534.60 is: 800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.80 : 1,148.46 = 534.60 : x
  2. Step 2: Convert to fraction form
    766.80/1,148.46 = 534.60/x
  3. Step 3: Cross multiply
    766.80x = 1,148.46 × 534.60
  4. Step 4: Simplify right side
    766.80x = 613,966.72
  5. Step 5: Solve for x
    x = 613,966.72/766.80
  6. Step 6: Final answer
    x = 800.69

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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.