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Finding the Fourth Proportional to 1,097.62, 1,646.19 and 636.07

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Solution

The fourth proportional to 1,097.62, 1,646.19 and 636.07 is: 953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.62 : 1,646.19 = 636.07 : x
  2. Step 2: Convert to fraction form
    1,097.62/1,646.19 = 636.07/x
  3. Step 3: Cross multiply
    1,097.62x = 1,646.19 × 636.07
  4. Step 4: Simplify right side
    1,097.62x = 1,047,091.04
  5. Step 5: Solve for x
    x = 1,047,091.04/1,097.62
  6. Step 6: Final answer
    x = 953.97

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