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Finding the Fourth Proportional to 1,124.24, 1,684.52 and 711.72

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Solution

The fourth proportional to 1,124.24, 1,684.52 and 711.72 is: 1,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.24 : 1,684.52 = 711.72 : x
  2. Step 2: Convert to fraction form
    1,124.24/1,684.52 = 711.72/x
  3. Step 3: Cross multiply
    1,124.24x = 1,684.52 × 711.72
  4. Step 4: Simplify right side
    1,124.24x = 1,198,906.57
  5. Step 5: Solve for x
    x = 1,198,906.57/1,124.24
  6. Step 6: Final answer
    x = 1,066.42

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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.