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Finding the Fourth Proportional to 1,223.01, 1,687.34 and 691.83

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Solution

The fourth proportional to 1,223.01, 1,687.34 and 691.83 is: 954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.01 : 1,687.34 = 691.83 : x
  2. Step 2: Convert to fraction form
    1,223.01/1,687.34 = 691.83/x
  3. Step 3: Cross multiply
    1,223.01x = 1,687.34 × 691.83
  4. Step 4: Simplify right side
    1,223.01x = 1,167,340.54
  5. Step 5: Solve for x
    x = 1,167,340.54/1,223.01
  6. Step 6: Final answer
    x = 954.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.