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Finding the Fourth Proportional to 921.11, 1,271.45 and 822.69

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Solution

The fourth proportional to 921.11, 1,271.45 and 822.69 is: 1,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.11 : 1,271.45 = 822.69 : x
  2. Step 2: Convert to fraction form
    921.11/1,271.45 = 822.69/x
  3. Step 3: Cross multiply
    921.11x = 1,271.45 × 822.69
  4. Step 4: Simplify right side
    921.11x = 1,046,011.26
  5. Step 5: Solve for x
    x = 1,046,011.26/921.11
  6. Step 6: Final answer
    x = 1,135.60

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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.