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Finding the Fourth Proportional to 918.99, 1,378.22 and 909.68

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Solution

The fourth proportional to 918.99, 1,378.22 and 909.68 is: 1,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.99 : 1,378.22 = 909.68 : x
  2. Step 2: Convert to fraction form
    918.99/1,378.22 = 909.68/x
  3. Step 3: Cross multiply
    918.99x = 1,378.22 × 909.68
  4. Step 4: Simplify right side
    918.99x = 1,253,727.73
  5. Step 5: Solve for x
    x = 1,253,727.73/918.99
  6. Step 6: Final answer
    x = 1,364.25

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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.