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Finding the Fourth Proportional to 874.12, 1,206.86 and 543.04

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Solution

The fourth proportional to 874.12, 1,206.86 and 543.04 is: 749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.12 : 1,206.86 = 543.04 : x
  2. Step 2: Convert to fraction form
    874.12/1,206.86 = 543.04/x
  3. Step 3: Cross multiply
    874.12x = 1,206.86 × 543.04
  4. Step 4: Simplify right side
    874.12x = 655,373.25
  5. Step 5: Solve for x
    x = 655,373.25/874.12
  6. Step 6: Final answer
    x = 749.75

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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.