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Finding the Fourth Proportional to 698.80, 1,048.20 and 656.56

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Solution

The fourth proportional to 698.80, 1,048.20 and 656.56 is: 984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.80 : 1,048.20 = 656.56 : x
  2. Step 2: Convert to fraction form
    698.80/1,048.20 = 656.56/x
  3. Step 3: Cross multiply
    698.80x = 1,048.20 × 656.56
  4. Step 4: Simplify right side
    698.80x = 688,206.19
  5. Step 5: Solve for x
    x = 688,206.19/698.80
  6. Step 6: Final answer
    x = 984.84

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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.