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Finding the Fourth Proportional to 768.32, 1,143.04 and 722.24

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Solution

The fourth proportional to 768.32, 1,143.04 and 722.24 is: 1,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.32 : 1,143.04 = 722.24 : x
  2. Step 2: Convert to fraction form
    768.32/1,143.04 = 722.24/x
  3. Step 3: Cross multiply
    768.32x = 1,143.04 × 722.24
  4. Step 4: Simplify right side
    768.32x = 825,549.21
  5. Step 5: Solve for x
    x = 825,549.21/768.32
  6. Step 6: Final answer
    x = 1,074.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.