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Finding the Fourth Proportional to 876.30, 1,209.87 and 545.22

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Solution

The fourth proportional to 876.30, 1,209.87 and 545.22 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.30 : 1,209.87 = 545.22 : x
  2. Step 2: Convert to fraction form
    876.30/1,209.87 = 545.22/x
  3. Step 3: Cross multiply
    876.30x = 1,209.87 × 545.22
  4. Step 4: Simplify right side
    876.30x = 659,645.32
  5. Step 5: Solve for x
    x = 659,645.32/876.30
  6. Step 6: Final answer
    x = 752.76

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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.