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Finding the Fourth Proportional to 921.91, 1,272.29 and 523.58

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Solution

The fourth proportional to 921.91, 1,272.29 and 523.58 is: 722.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.91 : 1,272.29 = 523.58 : x
  2. Step 2: Convert to fraction form
    921.91/1,272.29 = 523.58/x
  3. Step 3: Cross multiply
    921.91x = 1,272.29 × 523.58
  4. Step 4: Simplify right side
    921.91x = 666,151.14
  5. Step 5: Solve for x
    x = 666,151.14/921.91
  6. Step 6: Final answer
    x = 722.57

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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.