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Finding the Fourth Proportional to 1,149.59, 1,586.46 and 652.20

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Solution

The fourth proportional to 1,149.59, 1,586.46 and 652.20 is: 900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.59 : 1,586.46 = 652.20 : x
  2. Step 2: Convert to fraction form
    1,149.59/1,586.46 = 652.20/x
  3. Step 3: Cross multiply
    1,149.59x = 1,586.46 × 652.20
  4. Step 4: Simplify right side
    1,149.59x = 1,034,695.16
  5. Step 5: Solve for x
    x = 1,034,695.16/1,149.59
  6. Step 6: Final answer
    x = 900.06

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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.