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Finding the Fourth Proportional to 1,097.68, 1,644.56 and 663.84

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Solution

The fourth proportional to 1,097.68, 1,644.56 and 663.84 is: 994.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.68 : 1,644.56 = 663.84 : x
  2. Step 2: Convert to fraction form
    1,097.68/1,644.56 = 663.84/x
  3. Step 3: Cross multiply
    1,097.68x = 1,644.56 × 663.84
  4. Step 4: Simplify right side
    1,097.68x = 1,091,724.71
  5. Step 5: Solve for x
    x = 1,091,724.71/1,097.68
  6. Step 6: Final answer
    x = 994.57

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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.