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Finding the Fourth Proportional to 1,159.73, 1,599.41 and 822.97

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Solution

The fourth proportional to 1,159.73, 1,599.41 and 822.97 is: 1,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.73 : 1,599.41 = 822.97 : x
  2. Step 2: Convert to fraction form
    1,159.73/1,599.41 = 822.97/x
  3. Step 3: Cross multiply
    1,159.73x = 1,599.41 × 822.97
  4. Step 4: Simplify right side
    1,159.73x = 1,316,269.28
  5. Step 5: Solve for x
    x = 1,316,269.28/1,159.73
  6. Step 6: Final answer
    x = 1,134.98

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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.