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Finding the Fourth Proportional to 1,223.70, 1,686.93 and 873.78

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Solution

The fourth proportional to 1,223.70, 1,686.93 and 873.78 is: 1,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.70 : 1,686.93 = 873.78 : x
  2. Step 2: Convert to fraction form
    1,223.70/1,686.93 = 873.78/x
  3. Step 3: Cross multiply
    1,223.70x = 1,686.93 × 873.78
  4. Step 4: Simplify right side
    1,223.70x = 1,474,005.70
  5. Step 5: Solve for x
    x = 1,474,005.70/1,223.70
  6. Step 6: Final answer
    x = 1,204.55

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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.