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Finding the Fourth Proportional to 1,220.07, 1,830.83 and 451.11

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Solution

The fourth proportional to 1,220.07, 1,830.83 and 451.11 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,830.83 = 451.11 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,830.83 = 451.11/x
  3. Step 3: Cross multiply
    1,220.07x = 1,830.83 × 451.11
  4. Step 4: Simplify right side
    1,220.07x = 825,903.47
  5. Step 5: Solve for x
    x = 825,903.47/1,220.07
  6. Step 6: Final answer
    x = 676.93

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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.