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Finding the Fourth Proportional to 1,288, 1,777.41 and 698.50

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Solution

The fourth proportional to 1,288, 1,777.41 and 698.50 is: 963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,777.41 = 698.50 : x
  2. Step 2: Convert to fraction form
    1,288/1,777.41 = 698.50/x
  3. Step 3: Cross multiply
    1,288x = 1,777.41 × 698.50
  4. Step 4: Simplify right side
    1,288x = 1,241,520.89
  5. Step 5: Solve for x
    x = 1,241,520.89/1,288
  6. Step 6: Final answer
    x = 963.91

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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.