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Finding the Fourth Proportional to 1,363.73, 1,881.96 and 742.73

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Solution

The fourth proportional to 1,363.73, 1,881.96 and 742.73 is: 1,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.73 : 1,881.96 = 742.73 : x
  2. Step 2: Convert to fraction form
    1,363.73/1,881.96 = 742.73/x
  3. Step 3: Cross multiply
    1,363.73x = 1,881.96 × 742.73
  4. Step 4: Simplify right side
    1,363.73x = 1,397,788.15
  5. Step 5: Solve for x
    x = 1,397,788.15/1,363.73
  6. Step 6: Final answer
    x = 1,024.97

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1.5x scale

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.