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Finding the Fourth Proportional to 877.05, 1,209.87 and 545.76

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Solution

The fourth proportional to 877.05, 1,209.87 and 545.76 is: 752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.05 : 1,209.87 = 545.76 : x
  2. Step 2: Convert to fraction form
    877.05/1,209.87 = 545.76/x
  3. Step 3: Cross multiply
    877.05x = 1,209.87 × 545.76
  4. Step 4: Simplify right side
    877.05x = 660,298.65
  5. Step 5: Solve for x
    x = 660,298.65/877.05
  6. Step 6: Final answer
    x = 752.86

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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.