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Finding the Fourth Proportional to 1,196.49, 1,793.28 and 465.87

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Solution

The fourth proportional to 1,196.49, 1,793.28 and 465.87 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.49 : 1,793.28 = 465.87 : x
  2. Step 2: Convert to fraction form
    1,196.49/1,793.28 = 465.87/x
  3. Step 3: Cross multiply
    1,196.49x = 1,793.28 × 465.87
  4. Step 4: Simplify right side
    1,196.49x = 835,435.35
  5. Step 5: Solve for x
    x = 835,435.35/1,196.49
  6. Step 6: Final answer
    x = 698.24

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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.