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Finding the Fourth Proportional to 1,363.44, 1,881.50 and 773.94

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Solution

The fourth proportional to 1,363.44, 1,881.50 and 773.94 is: 1,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.44 : 1,881.50 = 773.94 : x
  2. Step 2: Convert to fraction form
    1,363.44/1,881.50 = 773.94/x
  3. Step 3: Cross multiply
    1,363.44x = 1,881.50 × 773.94
  4. Step 4: Simplify right side
    1,363.44x = 1,456,164.24
  5. Step 5: Solve for x
    x = 1,456,164.24/1,363.44
  6. Step 6: Final answer
    x = 1,068.01

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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.