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Finding the Fourth Proportional to 1,007.99, 1,511.90 and 277.58

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Solution

The fourth proportional to 1,007.99, 1,511.90 and 277.58 is: 416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.99 : 1,511.90 = 277.58 : x
  2. Step 2: Convert to fraction form
    1,007.99/1,511.90 = 277.58/x
  3. Step 3: Cross multiply
    1,007.99x = 1,511.90 × 277.58
  4. Step 4: Simplify right side
    1,007.99x = 419,669.30
  5. Step 5: Solve for x
    x = 419,669.30/1,007.99
  6. Step 6: Final answer
    x = 416.34

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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.