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Finding the Fourth Proportional to 1,363.83, 1,882.20 and 971.79

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Solution

The fourth proportional to 1,363.83, 1,882.20 and 971.79 is: 1,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.83 : 1,882.20 = 971.79 : x
  2. Step 2: Convert to fraction form
    1,363.83/1,882.20 = 971.79/x
  3. Step 3: Cross multiply
    1,363.83x = 1,882.20 × 971.79
  4. Step 4: Simplify right side
    1,363.83x = 1,829,103.14
  5. Step 5: Solve for x
    x = 1,829,103.14/1,363.83
  6. Step 6: Final answer
    x = 1,341.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.