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Finding the Fourth Proportional to 1,308.76, 1,963.14 and 822.15

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Solution

The fourth proportional to 1,308.76, 1,963.14 and 822.15 is: 1,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.76 : 1,963.14 = 822.15 : x
  2. Step 2: Convert to fraction form
    1,308.76/1,963.14 = 822.15/x
  3. Step 3: Cross multiply
    1,308.76x = 1,963.14 × 822.15
  4. Step 4: Simplify right side
    1,308.76x = 1,613,995.55
  5. Step 5: Solve for x
    x = 1,613,995.55/1,308.76
  6. Step 6: Final answer
    x = 1,233.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.