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Finding the Fourth Proportional to 1,107.74, 1,523.48 and 886.34

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Solution

The fourth proportional to 1,107.74, 1,523.48 and 886.34 is: 1,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.74 : 1,523.48 = 886.34 : x
  2. Step 2: Convert to fraction form
    1,107.74/1,523.48 = 886.34/x
  3. Step 3: Cross multiply
    1,107.74x = 1,523.48 × 886.34
  4. Step 4: Simplify right side
    1,107.74x = 1,350,320.64
  5. Step 5: Solve for x
    x = 1,350,320.64/1,107.74
  6. Step 6: Final answer
    x = 1,218.98

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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.