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Finding the Fourth Proportional to 1,149.66, 1,586.46 and 652.29

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Solution

The fourth proportional to 1,149.66, 1,586.46 and 652.29 is: 900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.66 : 1,586.46 = 652.29 : x
  2. Step 2: Convert to fraction form
    1,149.66/1,586.46 = 652.29/x
  3. Step 3: Cross multiply
    1,149.66x = 1,586.46 × 652.29
  4. Step 4: Simplify right side
    1,149.66x = 1,034,828.49
  5. Step 5: Solve for x
    x = 1,034,828.49/1,149.66
  6. Step 6: Final answer
    x = 900.12

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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.