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Finding the Fourth Proportional to 921.71, 1,272.65 and 568.11

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Solution

The fourth proportional to 921.71, 1,272.65 and 568.11 is: 784.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.71 : 1,272.65 = 568.11 : x
  2. Step 2: Convert to fraction form
    921.71/1,272.65 = 568.11/x
  3. Step 3: Cross multiply
    921.71x = 1,272.65 × 568.11
  4. Step 4: Simplify right side
    921.71x = 723,007.12
  5. Step 5: Solve for x
    x = 723,007.12/921.71
  6. Step 6: Final answer
    x = 784.42

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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.