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Finding the Fourth Proportional to 1,363.42, 1,881.49 and 773.96

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Solution

The fourth proportional to 1,363.42, 1,881.49 and 773.96 is: 1,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.42 : 1,881.49 = 773.96 : x
  2. Step 2: Convert to fraction form
    1,363.42/1,881.49 = 773.96/x
  3. Step 3: Cross multiply
    1,363.42x = 1,881.49 × 773.96
  4. Step 4: Simplify right side
    1,363.42x = 1,456,198.00
  5. Step 5: Solve for x
    x = 1,456,198.00/1,363.42
  6. Step 6: Final answer
    x = 1,068.05

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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.