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Finding the Fourth Proportional to 600.93, 824.63 and 545.49

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Solution

The fourth proportional to 600.93, 824.63 and 545.49 is: 748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.93 : 824.63 = 545.49 : x
  2. Step 2: Convert to fraction form
    600.93/824.63 = 545.49/x
  3. Step 3: Cross multiply
    600.93x = 824.63 × 545.49
  4. Step 4: Simplify right side
    600.93x = 449,824.69
  5. Step 5: Solve for x
    x = 449,824.69/600.93
  6. Step 6: Final answer
    x = 748.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.