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Finding the Fourth Proportional to 1,131.04, 1,697.12 and 834.56

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Solution

The fourth proportional to 1,131.04, 1,697.12 and 834.56 is: 1,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.04 : 1,697.12 = 834.56 : x
  2. Step 2: Convert to fraction form
    1,131.04/1,697.12 = 834.56/x
  3. Step 3: Cross multiply
    1,131.04x = 1,697.12 × 834.56
  4. Step 4: Simplify right side
    1,131.04x = 1,416,348.47
  5. Step 5: Solve for x
    x = 1,416,348.47/1,131.04
  6. Step 6: Final answer
    x = 1,252.25

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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.