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Finding the Fourth Proportional to 921.59, 1,271.47 and 523.20

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Solution

The fourth proportional to 921.59, 1,271.47 and 523.20 is: 721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.59 : 1,271.47 = 523.20 : x
  2. Step 2: Convert to fraction form
    921.59/1,271.47 = 523.20/x
  3. Step 3: Cross multiply
    921.59x = 1,271.47 × 523.20
  4. Step 4: Simplify right side
    921.59x = 665,224.13
  5. Step 5: Solve for x
    x = 665,224.13/921.59
  6. Step 6: Final answer
    x = 721.82

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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.