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Finding the Fourth Proportional to 1,006.16, 1,509.23 and 275.73

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Solution

The fourth proportional to 1,006.16, 1,509.23 and 275.73 is: 413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.16 : 1,509.23 = 275.73 : x
  2. Step 2: Convert to fraction form
    1,006.16/1,509.23 = 275.73/x
  3. Step 3: Cross multiply
    1,006.16x = 1,509.23 × 275.73
  4. Step 4: Simplify right side
    1,006.16x = 416,138.61
  5. Step 5: Solve for x
    x = 416,138.61/1,006.16
  6. Step 6: Final answer
    x = 413.59

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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.