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Finding the Fourth Proportional to 800.46, 1,205.40 and 698.96

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Solution

The fourth proportional to 800.46, 1,205.40 and 698.96 is: 1,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.46 : 1,205.40 = 698.96 : x
  2. Step 2: Convert to fraction form
    800.46/1,205.40 = 698.96/x
  3. Step 3: Cross multiply
    800.46x = 1,205.40 × 698.96
  4. Step 4: Simplify right side
    800.46x = 842,526.38
  5. Step 5: Solve for x
    x = 842,526.38/800.46
  6. Step 6: Final answer
    x = 1,052.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.