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Finding the Fourth Proportional to 948.73, 1,422.64 and 363.71

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Solution

The fourth proportional to 948.73, 1,422.64 and 363.71 is: 545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.73 : 1,422.64 = 363.71 : x
  2. Step 2: Convert to fraction form
    948.73/1,422.64 = 363.71/x
  3. Step 3: Cross multiply
    948.73x = 1,422.64 × 363.71
  4. Step 4: Simplify right side
    948.73x = 517,428.39
  5. Step 5: Solve for x
    x = 517,428.39/948.73
  6. Step 6: Final answer
    x = 545.39

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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.