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Finding the Fourth Proportional to 1,149.43, 1,586.29 and 652.06

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Solution

The fourth proportional to 1,149.43, 1,586.29 and 652.06 is: 899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.43 : 1,586.29 = 652.06 : x
  2. Step 2: Convert to fraction form
    1,149.43/1,586.29 = 652.06/x
  3. Step 3: Cross multiply
    1,149.43x = 1,586.29 × 652.06
  4. Step 4: Simplify right side
    1,149.43x = 1,034,356.26
  5. Step 5: Solve for x
    x = 1,034,356.26/1,149.43
  6. Step 6: Final answer
    x = 899.89

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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.