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Finding the Fourth Proportional to 1,167.66, 1,749.60 and 892.62

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Solution

The fourth proportional to 1,167.66, 1,749.60 and 892.62 is: 1,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.66 : 1,749.60 = 892.62 : x
  2. Step 2: Convert to fraction form
    1,167.66/1,749.60 = 892.62/x
  3. Step 3: Cross multiply
    1,167.66x = 1,749.60 × 892.62
  4. Step 4: Simplify right side
    1,167.66x = 1,561,727.95
  5. Step 5: Solve for x
    x = 1,561,727.95/1,167.66
  6. Step 6: Final answer
    x = 1,337.49

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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.