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Finding the Fourth Proportional to 1,101.53, 1,651.74 and 408.17

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Solution

The fourth proportional to 1,101.53, 1,651.74 and 408.17 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.53 : 1,651.74 = 408.17 : x
  2. Step 2: Convert to fraction form
    1,101.53/1,651.74 = 408.17/x
  3. Step 3: Cross multiply
    1,101.53x = 1,651.74 × 408.17
  4. Step 4: Simplify right side
    1,101.53x = 674,182.46
  5. Step 5: Solve for x
    x = 674,182.46/1,101.53
  6. Step 6: Final answer
    x = 612.04

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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.