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Finding the Fourth Proportional to 1,243.29, 1,715.73 and 676.11

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Solution

The fourth proportional to 1,243.29, 1,715.73 and 676.11 is: 933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.29 : 1,715.73 = 676.11 : x
  2. Step 2: Convert to fraction form
    1,243.29/1,715.73 = 676.11/x
  3. Step 3: Cross multiply
    1,243.29x = 1,715.73 × 676.11
  4. Step 4: Simplify right side
    1,243.29x = 1,160,022.67
  5. Step 5: Solve for x
    x = 1,160,022.67/1,243.29
  6. Step 6: Final answer
    x = 933.03

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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.