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Finding the Fourth Proportional to 1,431.46, 2,147.46 and 565.78

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Solution

The fourth proportional to 1,431.46, 2,147.46 and 565.78 is: 848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.46 : 2,147.46 = 565.78 : x
  2. Step 2: Convert to fraction form
    1,431.46/2,147.46 = 565.78/x
  3. Step 3: Cross multiply
    1,431.46x = 2,147.46 × 565.78
  4. Step 4: Simplify right side
    1,431.46x = 1,214,989.92
  5. Step 5: Solve for x
    x = 1,214,989.92/1,431.46
  6. Step 6: Final answer
    x = 848.78

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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.