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Finding the Fourth Proportional to 635.00, 875.84 and 582.71

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Solution

The fourth proportional to 635.00, 875.84 and 582.71 is: 803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.00 : 875.84 = 582.71 : x
  2. Step 2: Convert to fraction form
    635.00/875.84 = 582.71/x
  3. Step 3: Cross multiply
    635.00x = 875.84 × 582.71
  4. Step 4: Simplify right side
    635.00x = 510,353.43
  5. Step 5: Solve for x
    x = 510,353.43/635.00
  6. Step 6: Final answer
    x = 803.71

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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.