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Finding the Fourth Proportional to 1,429.45, 1,972.25 and 869.94

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Solution

The fourth proportional to 1,429.45, 1,972.25 and 869.94 is: 1,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.45 : 1,972.25 = 869.94 : x
  2. Step 2: Convert to fraction form
    1,429.45/1,972.25 = 869.94/x
  3. Step 3: Cross multiply
    1,429.45x = 1,972.25 × 869.94
  4. Step 4: Simplify right side
    1,429.45x = 1,715,738.08
  5. Step 5: Solve for x
    x = 1,715,738.08/1,429.45
  6. Step 6: Final answer
    x = 1,200.28

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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.