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Finding the Fourth Proportional to 1,149.47, 1,586.27 and 625.50

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Solution

The fourth proportional to 1,149.47, 1,586.27 and 625.50 is: 863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.47 : 1,586.27 = 625.50 : x
  2. Step 2: Convert to fraction form
    1,149.47/1,586.27 = 625.50/x
  3. Step 3: Cross multiply
    1,149.47x = 1,586.27 × 625.50
  4. Step 4: Simplify right side
    1,149.47x = 992,213.45
  5. Step 5: Solve for x
    x = 992,213.45/1,149.47
  6. Step 6: Final answer
    x = 863.19

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