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Finding the Fourth Proportional to 1,543.22, 2,314.83 and 517.22

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Solution

The fourth proportional to 1,543.22, 2,314.83 and 517.22 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.22 : 2,314.83 = 517.22 : x
  2. Step 2: Convert to fraction form
    1,543.22/2,314.83 = 517.22/x
  3. Step 3: Cross multiply
    1,543.22x = 2,314.83 × 517.22
  4. Step 4: Simplify right side
    1,543.22x = 1,197,275.42
  5. Step 5: Solve for x
    x = 1,197,275.42/1,543.22
  6. Step 6: Final answer
    x = 775.83

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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.