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Finding the Fourth Proportional to 635.68, 951.78 and 599.26

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Solution

The fourth proportional to 635.68, 951.78 and 599.26 is: 897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.68 : 951.78 = 599.26 : x
  2. Step 2: Convert to fraction form
    635.68/951.78 = 599.26/x
  3. Step 3: Cross multiply
    635.68x = 951.78 × 599.26
  4. Step 4: Simplify right side
    635.68x = 570,363.68
  5. Step 5: Solve for x
    x = 570,363.68/635.68
  6. Step 6: Final answer
    x = 897.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.