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Finding the Fourth Proportional to 1,312.28, 1,811.02 and 869.87

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Solution

The fourth proportional to 1,312.28, 1,811.02 and 869.87 is: 1,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.28 : 1,811.02 = 869.87 : x
  2. Step 2: Convert to fraction form
    1,312.28/1,811.02 = 869.87/x
  3. Step 3: Cross multiply
    1,312.28x = 1,811.02 × 869.87
  4. Step 4: Simplify right side
    1,312.28x = 1,575,351.97
  5. Step 5: Solve for x
    x = 1,575,351.97/1,312.28
  6. Step 6: Final answer
    x = 1,200.47

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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.