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Finding the Fourth Proportional to 1,149.66, 1,586.54 and 652.33

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Solution

The fourth proportional to 1,149.66, 1,586.54 and 652.33 is: 900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.66 : 1,586.54 = 652.33 : x
  2. Step 2: Convert to fraction form
    1,149.66/1,586.54 = 652.33/x
  3. Step 3: Cross multiply
    1,149.66x = 1,586.54 × 652.33
  4. Step 4: Simplify right side
    1,149.66x = 1,034,951.25
  5. Step 5: Solve for x
    x = 1,034,951.25/1,149.66
  6. Step 6: Final answer
    x = 900.22

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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.