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Finding the Fourth Proportional to 635.36, 877.46 and 566.64

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Solution

The fourth proportional to 635.36, 877.46 and 566.64 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.36 : 877.46 = 566.64 : x
  2. Step 2: Convert to fraction form
    635.36/877.46 = 566.64/x
  3. Step 3: Cross multiply
    635.36x = 877.46 × 566.64
  4. Step 4: Simplify right side
    635.36x = 497,201.10
  5. Step 5: Solve for x
    x = 497,201.10/635.36
  6. Step 6: Final answer
    x = 782.56

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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.