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Finding the Fourth Proportional to 1,123.81, 1,686.04 and 333.19

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Solution

The fourth proportional to 1,123.81, 1,686.04 and 333.19 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.81 : 1,686.04 = 333.19 : x
  2. Step 2: Convert to fraction form
    1,123.81/1,686.04 = 333.19/x
  3. Step 3: Cross multiply
    1,123.81x = 1,686.04 × 333.19
  4. Step 4: Simplify right side
    1,123.81x = 561,766.62
  5. Step 5: Solve for x
    x = 561,766.62/1,123.81
  6. Step 6: Final answer
    x = 499.88

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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.