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Finding the Fourth Proportional to 1,291.25, 1,937.14 and 674.79

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Solution

The fourth proportional to 1,291.25, 1,937.14 and 674.79 is: 1,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.25 : 1,937.14 = 674.79 : x
  2. Step 2: Convert to fraction form
    1,291.25/1,937.14 = 674.79/x
  3. Step 3: Cross multiply
    1,291.25x = 1,937.14 × 674.79
  4. Step 4: Simplify right side
    1,291.25x = 1,307,156.91
  5. Step 5: Solve for x
    x = 1,307,156.91/1,291.25
  6. Step 6: Final answer
    x = 1,012.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.