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Finding the Fourth Proportional to 1,168.03, 1,752.49 and 674.17

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Solution

The fourth proportional to 1,168.03, 1,752.49 and 674.17 is: 1,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.03 : 1,752.49 = 674.17 : x
  2. Step 2: Convert to fraction form
    1,168.03/1,752.49 = 674.17/x
  3. Step 3: Cross multiply
    1,168.03x = 1,752.49 × 674.17
  4. Step 4: Simplify right side
    1,168.03x = 1,181,477.87
  5. Step 5: Solve for x
    x = 1,181,477.87/1,168.03
  6. Step 6: Final answer
    x = 1,011.52

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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.