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Finding the Fourth Proportional to 1,229.36, 1,695.62 and 869.88

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Solution

The fourth proportional to 1,229.36, 1,695.62 and 869.88 is: 1,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.36 : 1,695.62 = 869.88 : x
  2. Step 2: Convert to fraction form
    1,229.36/1,695.62 = 869.88/x
  3. Step 3: Cross multiply
    1,229.36x = 1,695.62 × 869.88
  4. Step 4: Simplify right side
    1,229.36x = 1,474,988.10
  5. Step 5: Solve for x
    x = 1,474,988.10/1,229.36
  6. Step 6: Final answer
    x = 1,199.81

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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.