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Finding the Fourth Proportional to 697.92, 1,040.16 and 696.84

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Solution

The fourth proportional to 697.92, 1,040.16 and 696.84 is: 1,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 1,040.16 = 696.84 : x
  2. Step 2: Convert to fraction form
    697.92/1,040.16 = 696.84/x
  3. Step 3: Cross multiply
    697.92x = 1,040.16 × 696.84
  4. Step 4: Simplify right side
    697.92x = 724,825.09
  5. Step 5: Solve for x
    x = 724,825.09/697.92
  6. Step 6: Final answer
    x = 1,038.55

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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.