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Finding the Fourth Proportional to 635.76, 876.96 and 504.72

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Solution

The fourth proportional to 635.76, 876.96 and 504.72 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.76 : 876.96 = 504.72 : x
  2. Step 2: Convert to fraction form
    635.76/876.96 = 504.72/x
  3. Step 3: Cross multiply
    635.76x = 876.96 × 504.72
  4. Step 4: Simplify right side
    635.76x = 442,619.25
  5. Step 5: Solve for x
    x = 442,619.25/635.76
  6. Step 6: Final answer
    x = 696.20

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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.