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Finding the Fourth Proportional to 874.32, 1,206.66 and 543.06

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Solution

The fourth proportional to 874.32, 1,206.66 and 543.06 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.32 : 1,206.66 = 543.06 : x
  2. Step 2: Convert to fraction form
    874.32/1,206.66 = 543.06/x
  3. Step 3: Cross multiply
    874.32x = 1,206.66 × 543.06
  4. Step 4: Simplify right side
    874.32x = 655,288.78
  5. Step 5: Solve for x
    x = 655,288.78/874.32
  6. Step 6: Final answer
    x = 749.48

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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.