Home / 1,264.21-1,744.70-733.24

Finding the Fourth Proportional to 1,264.21, 1,744.70 and 733.24

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Solution

The fourth proportional to 1,264.21, 1,744.70 and 733.24 is: 1,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.21 : 1,744.70 = 733.24 : x
  2. Step 2: Convert to fraction form
    1,264.21/1,744.70 = 733.24/x
  3. Step 3: Cross multiply
    1,264.21x = 1,744.70 × 733.24
  4. Step 4: Simplify right side
    1,264.21x = 1,279,281.30
  5. Step 5: Solve for x
    x = 1,279,281.30/1,264.21
  6. Step 6: Final answer
    x = 1,011.92

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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.