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Finding the Fourth Proportional to 688.89, 1,033.22 and 277.92

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Solution

The fourth proportional to 688.89, 1,033.22 and 277.92 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.89 : 1,033.22 = 277.92 : x
  2. Step 2: Convert to fraction form
    688.89/1,033.22 = 277.92/x
  3. Step 3: Cross multiply
    688.89x = 1,033.22 × 277.92
  4. Step 4: Simplify right side
    688.89x = 287,152.50
  5. Step 5: Solve for x
    x = 287,152.50/688.89
  6. Step 6: Final answer
    x = 416.83

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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.