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Finding the Fourth Proportional to 1,123.62, 1,686.27 and 801.30

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Solution

The fourth proportional to 1,123.62, 1,686.27 and 801.30 is: 1,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.62 : 1,686.27 = 801.30 : x
  2. Step 2: Convert to fraction form
    1,123.62/1,686.27 = 801.30/x
  3. Step 3: Cross multiply
    1,123.62x = 1,686.27 × 801.30
  4. Step 4: Simplify right side
    1,123.62x = 1,351,208.15
  5. Step 5: Solve for x
    x = 1,351,208.15/1,123.62
  6. Step 6: Final answer
    x = 1,202.55

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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.