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Finding the Fourth Proportional to 872.04, 1,201.68 and 635.58

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Solution

The fourth proportional to 872.04, 1,201.68 and 635.58 is: 875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.04 : 1,201.68 = 635.58 : x
  2. Step 2: Convert to fraction form
    872.04/1,201.68 = 635.58/x
  3. Step 3: Cross multiply
    872.04x = 1,201.68 × 635.58
  4. Step 4: Simplify right side
    872.04x = 763,763.77
  5. Step 5: Solve for x
    x = 763,763.77/872.04
  6. Step 6: Final answer
    x = 875.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.