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Finding the Fourth Proportional to 877.12, 1,209.92 and 545.34

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Solution

The fourth proportional to 877.12, 1,209.92 and 545.34 is: 752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.12 : 1,209.92 = 545.34 : x
  2. Step 2: Convert to fraction form
    877.12/1,209.92 = 545.34/x
  3. Step 3: Cross multiply
    877.12x = 1,209.92 × 545.34
  4. Step 4: Simplify right side
    877.12x = 659,819.14
  5. Step 5: Solve for x
    x = 659,819.14/877.12
  6. Step 6: Final answer
    x = 752.26

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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.