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Finding the Fourth Proportional to 766.61, 1,059.47 and 580.04

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Solution

The fourth proportional to 766.61, 1,059.47 and 580.04 is: 801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,059.47 = 580.04 : x
  2. Step 2: Convert to fraction form
    766.61/1,059.47 = 580.04/x
  3. Step 3: Cross multiply
    766.61x = 1,059.47 × 580.04
  4. Step 4: Simplify right side
    766.61x = 614,534.98
  5. Step 5: Solve for x
    x = 614,534.98/766.61
  6. Step 6: Final answer
    x = 801.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.