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Finding the Fourth Proportional to 1,124.27, 1,685.97 and 466.25

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Solution

The fourth proportional to 1,124.27, 1,685.97 and 466.25 is: 699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.27 : 1,685.97 = 466.25 : x
  2. Step 2: Convert to fraction form
    1,124.27/1,685.97 = 466.25/x
  3. Step 3: Cross multiply
    1,124.27x = 1,685.97 × 466.25
  4. Step 4: Simplify right side
    1,124.27x = 786,087.73
  5. Step 5: Solve for x
    x = 786,087.73/1,124.27
  6. Step 6: Final answer
    x = 699.20

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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.