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Finding the Fourth Proportional to 1,207.67, 1,811.73 and 438.17

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Solution

The fourth proportional to 1,207.67, 1,811.73 and 438.17 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.67 : 1,811.73 = 438.17 : x
  2. Step 2: Convert to fraction form
    1,207.67/1,811.73 = 438.17/x
  3. Step 3: Cross multiply
    1,207.67x = 1,811.73 × 438.17
  4. Step 4: Simplify right side
    1,207.67x = 793,845.73
  5. Step 5: Solve for x
    x = 793,845.73/1,207.67
  6. Step 6: Final answer
    x = 657.34

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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.