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Finding the Fourth Proportional to 888.78, 1,226.45 and 534.75

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Solution

The fourth proportional to 888.78, 1,226.45 and 534.75 is: 737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.78 : 1,226.45 = 534.75 : x
  2. Step 2: Convert to fraction form
    888.78/1,226.45 = 534.75/x
  3. Step 3: Cross multiply
    888.78x = 1,226.45 × 534.75
  4. Step 4: Simplify right side
    888.78x = 655,844.14
  5. Step 5: Solve for x
    x = 655,844.14/888.78
  6. Step 6: Final answer
    x = 737.92

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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.