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Finding the Fourth Proportional to 921.74, 1,271.91 and 523.35

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Solution

The fourth proportional to 921.74, 1,271.91 and 523.35 is: 722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.74 : 1,271.91 = 523.35 : x
  2. Step 2: Convert to fraction form
    921.74/1,271.91 = 523.35/x
  3. Step 3: Cross multiply
    921.74x = 1,271.91 × 523.35
  4. Step 4: Simplify right side
    921.74x = 665,654.10
  5. Step 5: Solve for x
    x = 665,654.10/921.74
  6. Step 6: Final answer
    x = 722.18

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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.