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Finding the Fourth Proportional to 1,174.92, 1,617.90 and 842.77

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Solution

The fourth proportional to 1,174.92, 1,617.90 and 842.77 is: 1,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.92 : 1,617.90 = 842.77 : x
  2. Step 2: Convert to fraction form
    1,174.92/1,617.90 = 842.77/x
  3. Step 3: Cross multiply
    1,174.92x = 1,617.90 × 842.77
  4. Step 4: Simplify right side
    1,174.92x = 1,363,517.58
  5. Step 5: Solve for x
    x = 1,363,517.58/1,174.92
  6. Step 6: Final answer
    x = 1,160.52

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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.