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Finding the Fourth Proportional to 876.44, 1,209.60 and 728.82

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Solution

The fourth proportional to 876.44, 1,209.60 and 728.82 is: 1,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.44 : 1,209.60 = 728.82 : x
  2. Step 2: Convert to fraction form
    876.44/1,209.60 = 728.82/x
  3. Step 3: Cross multiply
    876.44x = 1,209.60 × 728.82
  4. Step 4: Simplify right side
    876.44x = 881,580.67
  5. Step 5: Solve for x
    x = 881,580.67/876.44
  6. Step 6: Final answer
    x = 1,005.87

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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.