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Finding the Fourth Proportional to 1,097.19, 1,644.15 and 822.87

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Solution

The fourth proportional to 1,097.19, 1,644.15 and 822.87 is: 1,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.19 : 1,644.15 = 822.87 : x
  2. Step 2: Convert to fraction form
    1,097.19/1,644.15 = 822.87/x
  3. Step 3: Cross multiply
    1,097.19x = 1,644.15 × 822.87
  4. Step 4: Simplify right side
    1,097.19x = 1,352,921.71
  5. Step 5: Solve for x
    x = 1,352,921.71/1,097.19
  6. Step 6: Final answer
    x = 1,233.08

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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.