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Finding the Fourth Proportional to 921.91, 1,272.27 and 567.76

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Solution

The fourth proportional to 921.91, 1,272.27 and 567.76 is: 783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.91 : 1,272.27 = 567.76 : x
  2. Step 2: Convert to fraction form
    921.91/1,272.27 = 567.76/x
  3. Step 3: Cross multiply
    921.91x = 1,272.27 × 567.76
  4. Step 4: Simplify right side
    921.91x = 722,344.02
  5. Step 5: Solve for x
    x = 722,344.02/921.91
  6. Step 6: Final answer
    x = 783.53

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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.