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Finding the Fourth Proportional to 922.44, 1,272.92 and 524

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Solution

The fourth proportional to 922.44, 1,272.92 and 524 is: 723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.44 : 1,272.92 = 524 : x
  2. Step 2: Convert to fraction form
    922.44/1,272.92 = 524/x
  3. Step 3: Cross multiply
    922.44x = 1,272.92 × 524
  4. Step 4: Simplify right side
    922.44x = 667,010.08
  5. Step 5: Solve for x
    x = 667,010.08/922.44
  6. Step 6: Final answer
    x = 723.09

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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.