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Finding the Fourth Proportional to 1,264.29, 1,744.17 and 822.24

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Solution

The fourth proportional to 1,264.29, 1,744.17 and 822.24 is: 1,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.29 : 1,744.17 = 822.24 : x
  2. Step 2: Convert to fraction form
    1,264.29/1,744.17 = 822.24/x
  3. Step 3: Cross multiply
    1,264.29x = 1,744.17 × 822.24
  4. Step 4: Simplify right side
    1,264.29x = 1,434,126.34
  5. Step 5: Solve for x
    x = 1,434,126.34/1,264.29
  6. Step 6: Final answer
    x = 1,134.33

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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.