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Finding the Fourth Proportional to 1,225.90, 1,691.94 and 754.08

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Solution

The fourth proportional to 1,225.90, 1,691.94 and 754.08 is: 1,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.90 : 1,691.94 = 754.08 : x
  2. Step 2: Convert to fraction form
    1,225.90/1,691.94 = 754.08/x
  3. Step 3: Cross multiply
    1,225.90x = 1,691.94 × 754.08
  4. Step 4: Simplify right side
    1,225.90x = 1,275,858.12
  5. Step 5: Solve for x
    x = 1,275,858.12/1,225.90
  6. Step 6: Final answer
    x = 1,040.75

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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.