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Finding the Fourth Proportional to 1,102.74, 1,653.20 and 408.96

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Solution

The fourth proportional to 1,102.74, 1,653.20 and 408.96 is: 613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.74 : 1,653.20 = 408.96 : x
  2. Step 2: Convert to fraction form
    1,102.74/1,653.20 = 408.96/x
  3. Step 3: Cross multiply
    1,102.74x = 1,653.20 × 408.96
  4. Step 4: Simplify right side
    1,102.74x = 676,092.67
  5. Step 5: Solve for x
    x = 676,092.67/1,102.74
  6. Step 6: Final answer
    x = 613.10

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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.