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Finding the Fourth Proportional to 1,363.48, 1,881.50 and 839.56

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Solution

The fourth proportional to 1,363.48, 1,881.50 and 839.56 is: 1,158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.48 : 1,881.50 = 839.56 : x
  2. Step 2: Convert to fraction form
    1,363.48/1,881.50 = 839.56/x
  3. Step 3: Cross multiply
    1,363.48x = 1,881.50 × 839.56
  4. Step 4: Simplify right side
    1,363.48x = 1,579,632.14
  5. Step 5: Solve for x
    x = 1,579,632.14/1,363.48
  6. Step 6: Final answer
    x = 1,158.53

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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.