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Finding the Fourth Proportional to 1,097.94, 1,515.17 and 632.19

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Solution

The fourth proportional to 1,097.94, 1,515.17 and 632.19 is: 872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,515.17 = 632.19 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,515.17 = 632.19/x
  3. Step 3: Cross multiply
    1,097.94x = 1,515.17 × 632.19
  4. Step 4: Simplify right side
    1,097.94x = 957,872.16
  5. Step 5: Solve for x
    x = 957,872.16/1,097.94
  6. Step 6: Final answer
    x = 872.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.