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Finding the Fourth Proportional to 698.92, 1,041.65 and 697.84

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Solution

The fourth proportional to 698.92, 1,041.65 and 697.84 is: 1,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.92 : 1,041.65 = 697.84 : x
  2. Step 2: Convert to fraction form
    698.92/1,041.65 = 697.84/x
  3. Step 3: Cross multiply
    698.92x = 1,041.65 × 697.84
  4. Step 4: Simplify right side
    698.92x = 726,905.04
  5. Step 5: Solve for x
    x = 726,905.04/698.92
  6. Step 6: Final answer
    x = 1,040.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.