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Finding the Fourth Proportional to 635.54, 877.68 and 566.78

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Solution

The fourth proportional to 635.54, 877.68 and 566.78 is: 782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.54 : 877.68 = 566.78 : x
  2. Step 2: Convert to fraction form
    635.54/877.68 = 566.78/x
  3. Step 3: Cross multiply
    635.54x = 877.68 × 566.78
  4. Step 4: Simplify right side
    635.54x = 497,447.08
  5. Step 5: Solve for x
    x = 497,447.08/635.54
  6. Step 6: Final answer
    x = 782.72

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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.