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Finding the Fourth Proportional to 1,131.24, 1,697.45 and 514.87

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Solution

The fourth proportional to 1,131.24, 1,697.45 and 514.87 is: 772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.24 : 1,697.45 = 514.87 : x
  2. Step 2: Convert to fraction form
    1,131.24/1,697.45 = 514.87/x
  3. Step 3: Cross multiply
    1,131.24x = 1,697.45 × 514.87
  4. Step 4: Simplify right side
    1,131.24x = 873,959.26
  5. Step 5: Solve for x
    x = 873,959.26/1,131.24
  6. Step 6: Final answer
    x = 772.56

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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.