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Finding the Fourth Proportional to 1,105.95, 1,655.74 and 909.12

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Solution

The fourth proportional to 1,105.95, 1,655.74 and 909.12 is: 1,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.95 : 1,655.74 = 909.12 : x
  2. Step 2: Convert to fraction form
    1,105.95/1,655.74 = 909.12/x
  3. Step 3: Cross multiply
    1,105.95x = 1,655.74 × 909.12
  4. Step 4: Simplify right side
    1,105.95x = 1,505,273.69
  5. Step 5: Solve for x
    x = 1,505,273.69/1,105.95
  6. Step 6: Final answer
    x = 1,361.06

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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.