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Finding the Fourth Proportional to 1,363.23, 1,881.27 and 773.76

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Solution

The fourth proportional to 1,363.23, 1,881.27 and 773.76 is: 1,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.23 : 1,881.27 = 773.76 : x
  2. Step 2: Convert to fraction form
    1,363.23/1,881.27 = 773.76/x
  3. Step 3: Cross multiply
    1,363.23x = 1,881.27 × 773.76
  4. Step 4: Simplify right side
    1,363.23x = 1,455,651.48
  5. Step 5: Solve for x
    x = 1,455,651.48/1,363.23
  6. Step 6: Final answer
    x = 1,067.80

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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.