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Finding the Fourth Proportional to 1,429.30, 1,972.46 and 869.79

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Solution

The fourth proportional to 1,429.30, 1,972.46 and 869.79 is: 1,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.30 : 1,972.46 = 869.79 : x
  2. Step 2: Convert to fraction form
    1,429.30/1,972.46 = 869.79/x
  3. Step 3: Cross multiply
    1,429.30x = 1,972.46 × 869.79
  4. Step 4: Simplify right side
    1,429.30x = 1,715,625.98
  5. Step 5: Solve for x
    x = 1,715,625.98/1,429.30
  6. Step 6: Final answer
    x = 1,200.33

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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.