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Finding the Fourth Proportional to 1,221.03, 1,831.73 and 399.11

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Solution

The fourth proportional to 1,221.03, 1,831.73 and 399.11 is: 598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.03 : 1,831.73 = 399.11 : x
  2. Step 2: Convert to fraction form
    1,221.03/1,831.73 = 399.11/x
  3. Step 3: Cross multiply
    1,221.03x = 1,831.73 × 399.11
  4. Step 4: Simplify right side
    1,221.03x = 731,053.60
  5. Step 5: Solve for x
    x = 731,053.60/1,221.03
  6. Step 6: Final answer
    x = 598.72

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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.