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Finding the Fourth Proportional to 1,102.32, 1,521.04 and 660.13

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Solution

The fourth proportional to 1,102.32, 1,521.04 and 660.13 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.32 : 1,521.04 = 660.13 : x
  2. Step 2: Convert to fraction form
    1,102.32/1,521.04 = 660.13/x
  3. Step 3: Cross multiply
    1,102.32x = 1,521.04 × 660.13
  4. Step 4: Simplify right side
    1,102.32x = 1,004,084.14
  5. Step 5: Solve for x
    x = 1,004,084.14/1,102.32
  6. Step 6: Final answer
    x = 910.88

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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.