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Finding the Fourth Proportional to 1,123.85, 1,685.34 and 865.46

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Solution

The fourth proportional to 1,123.85, 1,685.34 and 865.46 is: 1,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.85 : 1,685.34 = 865.46 : x
  2. Step 2: Convert to fraction form
    1,123.85/1,685.34 = 865.46/x
  3. Step 3: Cross multiply
    1,123.85x = 1,685.34 × 865.46
  4. Step 4: Simplify right side
    1,123.85x = 1,458,585.93
  5. Step 5: Solve for x
    x = 1,458,585.93/1,123.85
  6. Step 6: Final answer
    x = 1,297.85

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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.