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Finding the Fourth Proportional to 1,167.91, 1,752.81 and 674.84

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Solution

The fourth proportional to 1,167.91, 1,752.81 and 674.84 is: 1,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.91 : 1,752.81 = 674.84 : x
  2. Step 2: Convert to fraction form
    1,167.91/1,752.81 = 674.84/x
  3. Step 3: Cross multiply
    1,167.91x = 1,752.81 × 674.84
  4. Step 4: Simplify right side
    1,167.91x = 1,182,866.30
  5. Step 5: Solve for x
    x = 1,182,866.30/1,167.91
  6. Step 6: Final answer
    x = 1,012.81

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Why These Related Problems?

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