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Finding the Fourth Proportional to 1,087.52, 1,634.90 and 859.14

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Solution

The fourth proportional to 1,087.52, 1,634.90 and 859.14 is: 1,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.52 : 1,634.90 = 859.14 : x
  2. Step 2: Convert to fraction form
    1,087.52/1,634.90 = 859.14/x
  3. Step 3: Cross multiply
    1,087.52x = 1,634.90 × 859.14
  4. Step 4: Simplify right side
    1,087.52x = 1,404,603.69
  5. Step 5: Solve for x
    x = 1,404,603.69/1,087.52
  6. Step 6: Final answer
    x = 1,291.57

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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.