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Finding the Fourth Proportional to 1,006.84, 1,509.85 and 537.85

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Solution

The fourth proportional to 1,006.84, 1,509.85 and 537.85 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.84 : 1,509.85 = 537.85 : x
  2. Step 2: Convert to fraction form
    1,006.84/1,509.85 = 537.85/x
  3. Step 3: Cross multiply
    1,006.84x = 1,509.85 × 537.85
  4. Step 4: Simplify right side
    1,006.84x = 812,072.82
  5. Step 5: Solve for x
    x = 812,072.82/1,006.84
  6. Step 6: Final answer
    x = 806.56

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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.