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Finding the Fourth Proportional to 888.68, 1,226.50 and 515.78

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Solution

The fourth proportional to 888.68, 1,226.50 and 515.78 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.68 : 1,226.50 = 515.78 : x
  2. Step 2: Convert to fraction form
    888.68/1,226.50 = 515.78/x
  3. Step 3: Cross multiply
    888.68x = 1,226.50 × 515.78
  4. Step 4: Simplify right side
    888.68x = 632,596.75
  5. Step 5: Solve for x
    x = 632,596.75/888.68
  6. Step 6: Final answer
    x = 711.84

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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.