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Finding the Fourth Proportional to 1,006.84, 1,509.97 and 276.44

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Solution

The fourth proportional to 1,006.84, 1,509.97 and 276.44 is: 414.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.84 : 1,509.97 = 276.44 : x
  2. Step 2: Convert to fraction form
    1,006.84/1,509.97 = 276.44/x
  3. Step 3: Cross multiply
    1,006.84x = 1,509.97 × 276.44
  4. Step 4: Simplify right side
    1,006.84x = 417,416.11
  5. Step 5: Solve for x
    x = 417,416.11/1,006.84
  6. Step 6: Final answer
    x = 414.58

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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.