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Finding the Fourth Proportional to 833.20, 1,149.72 and 514.12

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Solution

The fourth proportional to 833.20, 1,149.72 and 514.12 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.20 : 1,149.72 = 514.12 : x
  2. Step 2: Convert to fraction form
    833.20/1,149.72 = 514.12/x
  3. Step 3: Cross multiply
    833.20x = 1,149.72 × 514.12
  4. Step 4: Simplify right side
    833.20x = 591,094.05
  5. Step 5: Solve for x
    x = 591,094.05/833.20
  6. Step 6: Final answer
    x = 709.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.