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Finding the Fourth Proportional to 1,086.46, 1,629.84 and 565.02

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Solution

The fourth proportional to 1,086.46, 1,629.84 and 565.02 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.46 : 1,629.84 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,086.46/1,629.84 = 565.02/x
  3. Step 3: Cross multiply
    1,086.46x = 1,629.84 × 565.02
  4. Step 4: Simplify right side
    1,086.46x = 920,892.20
  5. Step 5: Solve for x
    x = 920,892.20/1,086.46
  6. Step 6: Final answer
    x = 847.61

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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.