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Finding the Fourth Proportional to 1,102.38, 1,653.24 and 452.94

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Solution

The fourth proportional to 1,102.38, 1,653.24 and 452.94 is: 679.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,653.24 = 452.94 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,653.24 = 452.94/x
  3. Step 3: Cross multiply
    1,102.38x = 1,653.24 × 452.94
  4. Step 4: Simplify right side
    1,102.38x = 748,818.53
  5. Step 5: Solve for x
    x = 748,818.53/1,102.38
  6. Step 6: Final answer
    x = 679.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.