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Finding the Fourth Proportional to 1,007.67, 1,511.43 and 277.23

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Solution

The fourth proportional to 1,007.67, 1,511.43 and 277.23 is: 415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.67 : 1,511.43 = 277.23 : x
  2. Step 2: Convert to fraction form
    1,007.67/1,511.43 = 277.23/x
  3. Step 3: Cross multiply
    1,007.67x = 1,511.43 × 277.23
  4. Step 4: Simplify right side
    1,007.67x = 419,013.74
  5. Step 5: Solve for x
    x = 419,013.74/1,007.67
  6. Step 6: Final answer
    x = 415.82

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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.