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Finding the Fourth Proportional to 635.62, 870.58 and 598.26

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Solution

The fourth proportional to 635.62, 870.58 and 598.26 is: 819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.62 : 870.58 = 598.26 : x
  2. Step 2: Convert to fraction form
    635.62/870.58 = 598.26/x
  3. Step 3: Cross multiply
    635.62x = 870.58 × 598.26
  4. Step 4: Simplify right side
    635.62x = 520,830.67
  5. Step 5: Solve for x
    x = 520,830.67/635.62
  6. Step 6: Final answer
    x = 819.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.