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Finding the Fourth Proportional to 874.95, 1,207.26 and 543.46

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Solution

The fourth proportional to 874.95, 1,207.26 and 543.46 is: 749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.95 : 1,207.26 = 543.46 : x
  2. Step 2: Convert to fraction form
    874.95/1,207.26 = 543.46/x
  3. Step 3: Cross multiply
    874.95x = 1,207.26 × 543.46
  4. Step 4: Simplify right side
    874.95x = 656,091.48
  5. Step 5: Solve for x
    x = 656,091.48/874.95
  6. Step 6: Final answer
    x = 749.87

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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.