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Finding the Fourth Proportional to 635.64, 948.14 and 531.76

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Solution

The fourth proportional to 635.64, 948.14 and 531.76 is: 793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.64 : 948.14 = 531.76 : x
  2. Step 2: Convert to fraction form
    635.64/948.14 = 531.76/x
  3. Step 3: Cross multiply
    635.64x = 948.14 × 531.76
  4. Step 4: Simplify right side
    635.64x = 504,182.93
  5. Step 5: Solve for x
    x = 504,182.93/635.64
  6. Step 6: Final answer
    x = 793.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.