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Finding the Fourth Proportional to 1,123.41, 1,685.44 and 575.97

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Solution

The fourth proportional to 1,123.41, 1,685.44 and 575.97 is: 864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.41 : 1,685.44 = 575.97 : x
  2. Step 2: Convert to fraction form
    1,123.41/1,685.44 = 575.97/x
  3. Step 3: Cross multiply
    1,123.41x = 1,685.44 × 575.97
  4. Step 4: Simplify right side
    1,123.41x = 970,766.76
  5. Step 5: Solve for x
    x = 970,766.76/1,123.41
  6. Step 6: Final answer
    x = 864.13

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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.