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Finding the Fourth Proportional to 1,204.74, 1,806.33 and 545.82

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Solution

The fourth proportional to 1,204.74, 1,806.33 and 545.82 is: 818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.74 : 1,806.33 = 545.82 : x
  2. Step 2: Convert to fraction form
    1,204.74/1,806.33 = 545.82/x
  3. Step 3: Cross multiply
    1,204.74x = 1,806.33 × 545.82
  4. Step 4: Simplify right side
    1,204.74x = 985,931.04
  5. Step 5: Solve for x
    x = 985,931.04/1,204.74
  6. Step 6: Final answer
    x = 818.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.