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Finding the Fourth Proportional to 1,102.13, 1,653.19 and 452.41

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Solution

The fourth proportional to 1,102.13, 1,653.19 and 452.41 is: 678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.13 : 1,653.19 = 452.41 : x
  2. Step 2: Convert to fraction form
    1,102.13/1,653.19 = 452.41/x
  3. Step 3: Cross multiply
    1,102.13x = 1,653.19 × 452.41
  4. Step 4: Simplify right side
    1,102.13x = 747,919.69
  5. Step 5: Solve for x
    x = 747,919.69/1,102.13
  6. Step 6: Final answer
    x = 678.61

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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.