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Finding the Fourth Proportional to 876.23, 1,209.76 and 545.11

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Solution

The fourth proportional to 876.23, 1,209.76 and 545.11 is: 752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.23 : 1,209.76 = 545.11 : x
  2. Step 2: Convert to fraction form
    876.23/1,209.76 = 545.11/x
  3. Step 3: Cross multiply
    876.23x = 1,209.76 × 545.11
  4. Step 4: Simplify right side
    876.23x = 659,447.89
  5. Step 5: Solve for x
    x = 659,447.89/876.23
  6. Step 6: Final answer
    x = 752.60

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