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Finding the Fourth Proportional to 690.82, 952.24 and 543.20

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Solution

The fourth proportional to 690.82, 952.24 and 543.20 is: 748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.82 : 952.24 = 543.20 : x
  2. Step 2: Convert to fraction form
    690.82/952.24 = 543.20/x
  3. Step 3: Cross multiply
    690.82x = 952.24 × 543.20
  4. Step 4: Simplify right side
    690.82x = 517,256.77
  5. Step 5: Solve for x
    x = 517,256.77/690.82
  6. Step 6: Final answer
    x = 748.76

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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.