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Finding the Fourth Proportional to 1,220.93, 1,831.21 and 451.25

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Solution

The fourth proportional to 1,220.93, 1,831.21 and 451.25 is: 676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.93 : 1,831.21 = 451.25 : x
  2. Step 2: Convert to fraction form
    1,220.93/1,831.21 = 451.25/x
  3. Step 3: Cross multiply
    1,220.93x = 1,831.21 × 451.25
  4. Step 4: Simplify right side
    1,220.93x = 826,333.51
  5. Step 5: Solve for x
    x = 826,333.51/1,220.93
  6. Step 6: Final answer
    x = 676.81

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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.