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Finding the Fourth Proportional to 1,165.35, 1,747.98 and 991.61

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Solution

The fourth proportional to 1,165.35, 1,747.98 and 991.61 is: 1,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.35 : 1,747.98 = 991.61 : x
  2. Step 2: Convert to fraction form
    1,165.35/1,747.98 = 991.61/x
  3. Step 3: Cross multiply
    1,165.35x = 1,747.98 × 991.61
  4. Step 4: Simplify right side
    1,165.35x = 1,733,305.71
  5. Step 5: Solve for x
    x = 1,733,305.71/1,165.35
  6. Step 6: Final answer
    x = 1,487.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.