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Finding the Fourth Proportional to 872.15, 1,203.08 and 556.88

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Solution

The fourth proportional to 872.15, 1,203.08 and 556.88 is: 768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.15 : 1,203.08 = 556.88 : x
  2. Step 2: Convert to fraction form
    872.15/1,203.08 = 556.88/x
  3. Step 3: Cross multiply
    872.15x = 1,203.08 × 556.88
  4. Step 4: Simplify right side
    872.15x = 669,962.39
  5. Step 5: Solve for x
    x = 669,962.39/872.15
  6. Step 6: Final answer
    x = 768.18

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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.