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Finding the Fourth Proportional to 921.79, 1,272.29 and 567.94

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Solution

The fourth proportional to 921.79, 1,272.29 and 567.94 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.79 : 1,272.29 = 567.94 : x
  2. Step 2: Convert to fraction form
    921.79/1,272.29 = 567.94/x
  3. Step 3: Cross multiply
    921.79x = 1,272.29 × 567.94
  4. Step 4: Simplify right side
    921.79x = 722,584.38
  5. Step 5: Solve for x
    x = 722,584.38/921.79
  6. Step 6: Final answer
    x = 783.89

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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.