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Finding the Fourth Proportional to 1,132.21, 1,697.50 and 515.61

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Solution

The fourth proportional to 1,132.21, 1,697.50 and 515.61 is: 773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.21 : 1,697.50 = 515.61 : x
  2. Step 2: Convert to fraction form
    1,132.21/1,697.50 = 515.61/x
  3. Step 3: Cross multiply
    1,132.21x = 1,697.50 × 515.61
  4. Step 4: Simplify right side
    1,132.21x = 875,247.98
  5. Step 5: Solve for x
    x = 875,247.98/1,132.21
  6. Step 6: Final answer
    x = 773.04

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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.