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Finding the Fourth Proportional to 1,087.73, 1,631.14 and 394.57

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Solution

The fourth proportional to 1,087.73, 1,631.14 and 394.57 is: 591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.73 : 1,631.14 = 394.57 : x
  2. Step 2: Convert to fraction form
    1,087.73/1,631.14 = 394.57/x
  3. Step 3: Cross multiply
    1,087.73x = 1,631.14 × 394.57
  4. Step 4: Simplify right side
    1,087.73x = 643,599.96
  5. Step 5: Solve for x
    x = 643,599.96/1,087.73
  6. Step 6: Final answer
    x = 591.69

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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.