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Finding the Fourth Proportional to 1,431.04, 2,147.28 and 565.96

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Solution

The fourth proportional to 1,431.04, 2,147.28 and 565.96 is: 849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.04 : 2,147.28 = 565.96 : x
  2. Step 2: Convert to fraction form
    1,431.04/2,147.28 = 565.96/x
  3. Step 3: Cross multiply
    1,431.04x = 2,147.28 × 565.96
  4. Step 4: Simplify right side
    1,431.04x = 1,215,274.59
  5. Step 5: Solve for x
    x = 1,215,274.59/1,431.04
  6. Step 6: Final answer
    x = 849.22

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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.