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Finding the Fourth Proportional to 1,104.20, 1,523.65 and 632.04

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Solution

The fourth proportional to 1,104.20, 1,523.65 and 632.04 is: 872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.20 : 1,523.65 = 632.04 : x
  2. Step 2: Convert to fraction form
    1,104.20/1,523.65 = 632.04/x
  3. Step 3: Cross multiply
    1,104.20x = 1,523.65 × 632.04
  4. Step 4: Simplify right side
    1,104.20x = 963,007.75
  5. Step 5: Solve for x
    x = 963,007.75/1,104.20
  6. Step 6: Final answer
    x = 872.13

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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.