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Finding the Fourth Proportional to 1,431.54, 2,148.30 and 565.92

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Solution

The fourth proportional to 1,431.54, 2,148.30 and 565.92 is: 849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.54 : 2,148.30 = 565.92 : x
  2. Step 2: Convert to fraction form
    1,431.54/2,148.30 = 565.92/x
  3. Step 3: Cross multiply
    1,431.54x = 2,148.30 × 565.92
  4. Step 4: Simplify right side
    1,431.54x = 1,215,765.94
  5. Step 5: Solve for x
    x = 1,215,765.94/1,431.54
  6. Step 6: Final answer
    x = 849.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.