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Finding the Fourth Proportional to 1,006.29, 1,509.44 and 275.85

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Solution

The fourth proportional to 1,006.29, 1,509.44 and 275.85 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.29 : 1,509.44 = 275.85 : x
  2. Step 2: Convert to fraction form
    1,006.29/1,509.44 = 275.85/x
  3. Step 3: Cross multiply
    1,006.29x = 1,509.44 × 275.85
  4. Step 4: Simplify right side
    1,006.29x = 416,377.64
  5. Step 5: Solve for x
    x = 416,377.64/1,006.29
  6. Step 6: Final answer
    x = 413.78

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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.