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Finding the Fourth Proportional to 566.82, 782.22 and 547.20

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Solution

The fourth proportional to 566.82, 782.22 and 547.20 is: 755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.82 : 782.22 = 547.20 : x
  2. Step 2: Convert to fraction form
    566.82/782.22 = 547.20/x
  3. Step 3: Cross multiply
    566.82x = 782.22 × 547.20
  4. Step 4: Simplify right side
    566.82x = 428,030.78
  5. Step 5: Solve for x
    x = 428,030.78/566.82
  6. Step 6: Final answer
    x = 755.14

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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.