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Finding the Fourth Proportional to 1,363.89, 1,882.17 and 774.48

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Solution

The fourth proportional to 1,363.89, 1,882.17 and 774.48 is: 1,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.89 : 1,882.17 = 774.48 : x
  2. Step 2: Convert to fraction form
    1,363.89/1,882.17 = 774.48/x
  3. Step 3: Cross multiply
    1,363.89x = 1,882.17 × 774.48
  4. Step 4: Simplify right side
    1,363.89x = 1,457,703.02
  5. Step 5: Solve for x
    x = 1,457,703.02/1,363.89
  6. Step 6: Final answer
    x = 1,068.78

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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.