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Finding the Fourth Proportional to 1,196.10, 1,793.63 and 465.17

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Solution

The fourth proportional to 1,196.10, 1,793.63 and 465.17 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.10 : 1,793.63 = 465.17 : x
  2. Step 2: Convert to fraction form
    1,196.10/1,793.63 = 465.17/x
  3. Step 3: Cross multiply
    1,196.10x = 1,793.63 × 465.17
  4. Step 4: Simplify right side
    1,196.10x = 834,348.51
  5. Step 5: Solve for x
    x = 834,348.51/1,196.10
  6. Step 6: Final answer
    x = 697.56

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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.