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Finding the Fourth Proportional to 1,006.26, 1,509.37 and 275.83

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Solution

The fourth proportional to 1,006.26, 1,509.37 and 275.83 is: 413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.26 : 1,509.37 = 275.83 : x
  2. Step 2: Convert to fraction form
    1,006.26/1,509.37 = 275.83/x
  3. Step 3: Cross multiply
    1,006.26x = 1,509.37 × 275.83
  4. Step 4: Simplify right side
    1,006.26x = 416,329.53
  5. Step 5: Solve for x
    x = 416,329.53/1,006.26
  6. Step 6: Final answer
    x = 413.74

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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.