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Finding the Fourth Proportional to 1,167.53, 1,752.25 and 674.47

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Solution

The fourth proportional to 1,167.53, 1,752.25 and 674.47 is: 1,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.53 : 1,752.25 = 674.47 : x
  2. Step 2: Convert to fraction form
    1,167.53/1,752.25 = 674.47/x
  3. Step 3: Cross multiply
    1,167.53x = 1,752.25 × 674.47
  4. Step 4: Simplify right side
    1,167.53x = 1,181,840.06
  5. Step 5: Solve for x
    x = 1,181,840.06/1,167.53
  6. Step 6: Final answer
    x = 1,012.26

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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.