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Finding the Fourth Proportional to 1,027.62, 1,542.06 and 565.20

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Solution

The fourth proportional to 1,027.62, 1,542.06 and 565.20 is: 848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.62 : 1,542.06 = 565.20 : x
  2. Step 2: Convert to fraction form
    1,027.62/1,542.06 = 565.20/x
  3. Step 3: Cross multiply
    1,027.62x = 1,542.06 × 565.20
  4. Step 4: Simplify right side
    1,027.62x = 871,572.31
  5. Step 5: Solve for x
    x = 871,572.31/1,027.62
  6. Step 6: Final answer
    x = 848.15

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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.