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Finding the Fourth Proportional to 635.28, 875.88 and 585.84

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Solution

The fourth proportional to 635.28, 875.88 and 585.84 is: 807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.28 : 875.88 = 585.84 : x
  2. Step 2: Convert to fraction form
    635.28/875.88 = 585.84/x
  3. Step 3: Cross multiply
    635.28x = 875.88 × 585.84
  4. Step 4: Simplify right side
    635.28x = 513,125.54
  5. Step 5: Solve for x
    x = 513,125.54/635.28
  6. Step 6: Final answer
    x = 807.72

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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.