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Finding the Fourth Proportional to 921.76, 1,271.82 and 523.44

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Solution

The fourth proportional to 921.76, 1,271.82 and 523.44 is: 722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.76 : 1,271.82 = 523.44 : x
  2. Step 2: Convert to fraction form
    921.76/1,271.82 = 523.44/x
  3. Step 3: Cross multiply
    921.76x = 1,271.82 × 523.44
  4. Step 4: Simplify right side
    921.76x = 665,721.46
  5. Step 5: Solve for x
    x = 665,721.46/921.76
  6. Step 6: Final answer
    x = 722.23

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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.