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Finding the Fourth Proportional to 1,221.24, 1,831.81 and 604.74

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Solution

The fourth proportional to 1,221.24, 1,831.81 and 604.74 is: 907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.24 : 1,831.81 = 604.74 : x
  2. Step 2: Convert to fraction form
    1,221.24/1,831.81 = 604.74/x
  3. Step 3: Cross multiply
    1,221.24x = 1,831.81 × 604.74
  4. Step 4: Simplify right side
    1,221.24x = 1,107,768.78
  5. Step 5: Solve for x
    x = 1,107,768.78/1,221.24
  6. Step 6: Final answer
    x = 907.09

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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.