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Finding the Fourth Proportional to 1,243.86, 1,717.08 and 824.40

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Solution

The fourth proportional to 1,243.86, 1,717.08 and 824.40 is: 1,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.86 : 1,717.08 = 824.40 : x
  2. Step 2: Convert to fraction form
    1,243.86/1,717.08 = 824.40/x
  3. Step 3: Cross multiply
    1,243.86x = 1,717.08 × 824.40
  4. Step 4: Simplify right side
    1,243.86x = 1,415,560.75
  5. Step 5: Solve for x
    x = 1,415,560.75/1,243.86
  6. Step 6: Final answer
    x = 1,138.04

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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.