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Finding the Fourth Proportional to 1,104.27, 1,656.27 and 454.92

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Solution

The fourth proportional to 1,104.27, 1,656.27 and 454.92 is: 682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.27 : 1,656.27 = 454.92 : x
  2. Step 2: Convert to fraction form
    1,104.27/1,656.27 = 454.92/x
  3. Step 3: Cross multiply
    1,104.27x = 1,656.27 × 454.92
  4. Step 4: Simplify right side
    1,104.27x = 753,470.35
  5. Step 5: Solve for x
    x = 753,470.35/1,104.27
  6. Step 6: Final answer
    x = 682.32

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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.