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Finding the Fourth Proportional to 1,429.29, 1,972.60 and 869.99

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Solution

The fourth proportional to 1,429.29, 1,972.60 and 869.99 is: 1,200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.29 : 1,972.60 = 869.99 : x
  2. Step 2: Convert to fraction form
    1,429.29/1,972.60 = 869.99/x
  3. Step 3: Cross multiply
    1,429.29x = 1,972.60 × 869.99
  4. Step 4: Simplify right side
    1,429.29x = 1,716,132.99
  5. Step 5: Solve for x
    x = 1,716,132.99/1,429.29
  6. Step 6: Final answer
    x = 1,200.69

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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.