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Finding the Fourth Proportional to 1,101.92, 1,520.80 and 659.76

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Solution

The fourth proportional to 1,101.92, 1,520.80 and 659.76 is: 910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.92 : 1,520.80 = 659.76 : x
  2. Step 2: Convert to fraction form
    1,101.92/1,520.80 = 659.76/x
  3. Step 3: Cross multiply
    1,101.92x = 1,520.80 × 659.76
  4. Step 4: Simplify right side
    1,101.92x = 1,003,363.01
  5. Step 5: Solve for x
    x = 1,003,363.01/1,101.92
  6. Step 6: Final answer
    x = 910.56

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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.