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Finding the Fourth Proportional to 870.31, 1,306.05 and 578.15

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Solution

The fourth proportional to 870.31, 1,306.05 and 578.15 is: 867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.31 : 1,306.05 = 578.15 : x
  2. Step 2: Convert to fraction form
    870.31/1,306.05 = 578.15/x
  3. Step 3: Cross multiply
    870.31x = 1,306.05 × 578.15
  4. Step 4: Simplify right side
    870.31x = 755,086.28
  5. Step 5: Solve for x
    x = 755,086.28/870.31
  6. Step 6: Final answer
    x = 867.61

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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.