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Finding the Fourth Proportional to 888, 1,332 and 546.72

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Solution

The fourth proportional to 888, 1,332 and 546.72 is: 820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    888 : 1,332 = 546.72 : x
  2. Step 2: Convert to fraction form
    888/1,332 = 546.72/x
  3. Step 3: Cross multiply
    888x = 1,332 × 546.72
  4. Step 4: Simplify right side
    888x = 728,231.04
  5. Step 5: Solve for x
    x = 728,231.04/888
  6. Step 6: Final answer
    x = 820.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.