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Finding the Fourth Proportional to 1,007.66, 1,511.33 and 277.31

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Solution

The fourth proportional to 1,007.66, 1,511.33 and 277.31 is: 415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.66 : 1,511.33 = 277.31 : x
  2. Step 2: Convert to fraction form
    1,007.66/1,511.33 = 277.31/x
  3. Step 3: Cross multiply
    1,007.66x = 1,511.33 × 277.31
  4. Step 4: Simplify right side
    1,007.66x = 419,097.98
  5. Step 5: Solve for x
    x = 419,097.98/1,007.66
  6. Step 6: Final answer
    x = 415.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.