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Finding the Fourth Proportional to 635.88, 877.14 and 566.76

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Solution

The fourth proportional to 635.88, 877.14 and 566.76 is: 781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.88 : 877.14 = 566.76 : x
  2. Step 2: Convert to fraction form
    635.88/877.14 = 566.76/x
  3. Step 3: Cross multiply
    635.88x = 877.14 × 566.76
  4. Step 4: Simplify right side
    635.88x = 497,127.87
  5. Step 5: Solve for x
    x = 497,127.87/635.88
  6. Step 6: Final answer
    x = 781.80

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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.