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Finding the Fourth Proportional to 1,429.21, 1,972.38 and 869.59

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Solution

The fourth proportional to 1,429.21, 1,972.38 and 869.59 is: 1,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.21 : 1,972.38 = 869.59 : x
  2. Step 2: Convert to fraction form
    1,429.21/1,972.38 = 869.59/x
  3. Step 3: Cross multiply
    1,429.21x = 1,972.38 × 869.59
  4. Step 4: Simplify right side
    1,429.21x = 1,715,152.06
  5. Step 5: Solve for x
    x = 1,715,152.06/1,429.21
  6. Step 6: Final answer
    x = 1,200.07

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Why These Related Problems?

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