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Finding the Fourth Proportional to 1,104.57, 1,657.05 and 454.95

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Solution

The fourth proportional to 1,104.57, 1,657.05 and 454.95 is: 682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.57 : 1,657.05 = 454.95 : x
  2. Step 2: Convert to fraction form
    1,104.57/1,657.05 = 454.95/x
  3. Step 3: Cross multiply
    1,104.57x = 1,657.05 × 454.95
  4. Step 4: Simplify right side
    1,104.57x = 753,874.90
  5. Step 5: Solve for x
    x = 753,874.90/1,104.57
  6. Step 6: Final answer
    x = 682.51

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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.