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Finding the Fourth Proportional to 1,228.92, 1,696.01 and 697.80

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Solution

The fourth proportional to 1,228.92, 1,696.01 and 697.80 is: 963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.92 : 1,696.01 = 697.80 : x
  2. Step 2: Convert to fraction form
    1,228.92/1,696.01 = 697.80/x
  3. Step 3: Cross multiply
    1,228.92x = 1,696.01 × 697.80
  4. Step 4: Simplify right side
    1,228.92x = 1,183,475.78
  5. Step 5: Solve for x
    x = 1,183,475.78/1,228.92
  6. Step 6: Final answer
    x = 963.02

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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.