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Finding the Fourth Proportional to 1,007.51, 1,511.24 and 277.09

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Solution

The fourth proportional to 1,007.51, 1,511.24 and 277.09 is: 415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.51 : 1,511.24 = 277.09 : x
  2. Step 2: Convert to fraction form
    1,007.51/1,511.24 = 277.09/x
  3. Step 3: Cross multiply
    1,007.51x = 1,511.24 × 277.09
  4. Step 4: Simplify right side
    1,007.51x = 418,744.33
  5. Step 5: Solve for x
    x = 418,744.33/1,007.51
  6. Step 6: Final answer
    x = 415.63

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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.