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Finding the Fourth Proportional to 1,193.82, 1,790.73 and 545.28

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Solution

The fourth proportional to 1,193.82, 1,790.73 and 545.28 is: 817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,790.73 = 545.28 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,790.73 = 545.28/x
  3. Step 3: Cross multiply
    1,193.82x = 1,790.73 × 545.28
  4. Step 4: Simplify right side
    1,193.82x = 976,449.25
  5. Step 5: Solve for x
    x = 976,449.25/1,193.82
  6. Step 6: Final answer
    x = 817.92

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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.