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Finding the Fourth Proportional to 1,168.13, 1,752.23 and 437.57

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Solution

The fourth proportional to 1,168.13, 1,752.23 and 437.57 is: 656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.13 : 1,752.23 = 437.57 : x
  2. Step 2: Convert to fraction form
    1,168.13/1,752.23 = 437.57/x
  3. Step 3: Cross multiply
    1,168.13x = 1,752.23 × 437.57
  4. Step 4: Simplify right side
    1,168.13x = 766,723.28
  5. Step 5: Solve for x
    x = 766,723.28/1,168.13
  6. Step 6: Final answer
    x = 656.37

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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.