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Finding the Fourth Proportional to 1,363.44, 1,881.55 and 742.44

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Solution

The fourth proportional to 1,363.44, 1,881.55 and 742.44 is: 1,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.44 : 1,881.55 = 742.44 : x
  2. Step 2: Convert to fraction form
    1,363.44/1,881.55 = 742.44/x
  3. Step 3: Cross multiply
    1,363.44x = 1,881.55 × 742.44
  4. Step 4: Simplify right side
    1,363.44x = 1,396,934.27
  5. Step 5: Solve for x
    x = 1,396,934.27/1,363.44
  6. Step 6: Final answer
    x = 1,024.57

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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.