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Finding the Fourth Proportional to 1,220.67, 1,831.82 and 605.88

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Solution

The fourth proportional to 1,220.67, 1,831.82 and 605.88 is: 909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.67 : 1,831.82 = 605.88 : x
  2. Step 2: Convert to fraction form
    1,220.67/1,831.82 = 605.88/x
  3. Step 3: Cross multiply
    1,220.67x = 1,831.82 × 605.88
  4. Step 4: Simplify right side
    1,220.67x = 1,109,860.07
  5. Step 5: Solve for x
    x = 1,109,860.07/1,220.67
  6. Step 6: Final answer
    x = 909.22

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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.