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Finding the Fourth Proportional to 1,169, 1,610.48 and 814.31

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Solution

The fourth proportional to 1,169, 1,610.48 and 814.31 is: 1,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169 : 1,610.48 = 814.31 : x
  2. Step 2: Convert to fraction form
    1,169/1,610.48 = 814.31/x
  3. Step 3: Cross multiply
    1,169x = 1,610.48 × 814.31
  4. Step 4: Simplify right side
    1,169x = 1,311,429.97
  5. Step 5: Solve for x
    x = 1,311,429.97/1,169
  6. Step 6: Final answer
    x = 1,121.84

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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.