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Finding the Fourth Proportional to 1,194.96, 1,793.44 and 545.76

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Solution

The fourth proportional to 1,194.96, 1,793.44 and 545.76 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.96 : 1,793.44 = 545.76 : x
  2. Step 2: Convert to fraction form
    1,194.96/1,793.44 = 545.76/x
  3. Step 3: Cross multiply
    1,194.96x = 1,793.44 × 545.76
  4. Step 4: Simplify right side
    1,194.96x = 978,787.81
  5. Step 5: Solve for x
    x = 978,787.81/1,194.96
  6. Step 6: Final answer
    x = 819.10

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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.