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Finding the Fourth Proportional to 1,310.78, 1,808.24 and 869.06

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Solution

The fourth proportional to 1,310.78, 1,808.24 and 869.06 is: 1,198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.78 : 1,808.24 = 869.06 : x
  2. Step 2: Convert to fraction form
    1,310.78/1,808.24 = 869.06/x
  3. Step 3: Cross multiply
    1,310.78x = 1,808.24 × 869.06
  4. Step 4: Simplify right side
    1,310.78x = 1,571,460.01
  5. Step 5: Solve for x
    x = 1,571,460.01/1,310.78
  6. Step 6: Final answer
    x = 1,198.87

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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.