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Finding the Fourth Proportional to 1,007.32, 1,511.03 and 276.97

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Solution

The fourth proportional to 1,007.32, 1,511.03 and 276.97 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.32 : 1,511.03 = 276.97 : x
  2. Step 2: Convert to fraction form
    1,007.32/1,511.03 = 276.97/x
  3. Step 3: Cross multiply
    1,007.32x = 1,511.03 × 276.97
  4. Step 4: Simplify right side
    1,007.32x = 418,509.98
  5. Step 5: Solve for x
    x = 418,509.98/1,007.32
  6. Step 6: Final answer
    x = 415.47

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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.