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Finding the Fourth Proportional to 1,027.31, 1,540.15 and 565.31

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Solution

The fourth proportional to 1,027.31, 1,540.15 and 565.31 is: 847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.31 : 1,540.15 = 565.31 : x
  2. Step 2: Convert to fraction form
    1,027.31/1,540.15 = 565.31/x
  3. Step 3: Cross multiply
    1,027.31x = 1,540.15 × 565.31
  4. Step 4: Simplify right side
    1,027.31x = 870,664.63
  5. Step 5: Solve for x
    x = 870,664.63/1,027.31
  6. Step 6: Final answer
    x = 847.52

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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.