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Finding the Fourth Proportional to 1,007.99, 1,511.84 and 277.63

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Solution

The fourth proportional to 1,007.99, 1,511.84 and 277.63 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.99 : 1,511.84 = 277.63 : x
  2. Step 2: Convert to fraction form
    1,007.99/1,511.84 = 277.63/x
  3. Step 3: Cross multiply
    1,007.99x = 1,511.84 × 277.63
  4. Step 4: Simplify right side
    1,007.99x = 419,732.14
  5. Step 5: Solve for x
    x = 419,732.14/1,007.99
  6. Step 6: Final answer
    x = 416.41

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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.