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Finding the Fourth Proportional to 1,091.06, 1,634.95 and 897.40

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Solution

The fourth proportional to 1,091.06, 1,634.95 and 897.40 is: 1,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.06 : 1,634.95 = 897.40 : x
  2. Step 2: Convert to fraction form
    1,091.06/1,634.95 = 897.40/x
  3. Step 3: Cross multiply
    1,091.06x = 1,634.95 × 897.40
  4. Step 4: Simplify right side
    1,091.06x = 1,467,204.13
  5. Step 5: Solve for x
    x = 1,467,204.13/1,091.06
  6. Step 6: Final answer
    x = 1,344.75

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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.