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Finding the Fourth Proportional to 1,149.55, 1,586.23 and 729.16

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Solution

The fourth proportional to 1,149.55, 1,586.23 and 729.16 is: 1,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.55 : 1,586.23 = 729.16 : x
  2. Step 2: Convert to fraction form
    1,149.55/1,586.23 = 729.16/x
  3. Step 3: Cross multiply
    1,149.55x = 1,586.23 × 729.16
  4. Step 4: Simplify right side
    1,149.55x = 1,156,609.68
  5. Step 5: Solve for x
    x = 1,156,609.68/1,149.55
  6. Step 6: Final answer
    x = 1,006.14

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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.