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Finding the Fourth Proportional to 1,006.72, 1,509.83 and 276.26

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Solution

The fourth proportional to 1,006.72, 1,509.83 and 276.26 is: 414.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.72 : 1,509.83 = 276.26 : x
  2. Step 2: Convert to fraction form
    1,006.72/1,509.83 = 276.26/x
  3. Step 3: Cross multiply
    1,006.72x = 1,509.83 × 276.26
  4. Step 4: Simplify right side
    1,006.72x = 417,105.64
  5. Step 5: Solve for x
    x = 417,105.64/1,006.72
  6. Step 6: Final answer
    x = 414.32

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