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Finding the Fourth Proportional to 921.41, 1,271.32 and 522.98

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Solution

The fourth proportional to 921.41, 1,271.32 and 522.98 is: 721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.41 : 1,271.32 = 522.98 : x
  2. Step 2: Convert to fraction form
    921.41/1,271.32 = 522.98/x
  3. Step 3: Cross multiply
    921.41x = 1,271.32 × 522.98
  4. Step 4: Simplify right side
    921.41x = 664,874.93
  5. Step 5: Solve for x
    x = 664,874.93/921.41
  6. Step 6: Final answer
    x = 721.59

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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.