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Finding the Fourth Proportional to 1,149.47, 1,586.36 and 645.31

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Solution

The fourth proportional to 1,149.47, 1,586.36 and 645.31 is: 890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.47 : 1,586.36 = 645.31 : x
  2. Step 2: Convert to fraction form
    1,149.47/1,586.36 = 645.31/x
  3. Step 3: Cross multiply
    1,149.47x = 1,586.36 × 645.31
  4. Step 4: Simplify right side
    1,149.47x = 1,023,693.97
  5. Step 5: Solve for x
    x = 1,023,693.97/1,149.47
  6. Step 6: Final answer
    x = 890.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.