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Finding the Fourth Proportional to 1,006.25, 1,509.42 and 275.81

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Solution

The fourth proportional to 1,006.25, 1,509.42 and 275.81 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.25 : 1,509.42 = 275.81 : x
  2. Step 2: Convert to fraction form
    1,006.25/1,509.42 = 275.81/x
  3. Step 3: Cross multiply
    1,006.25x = 1,509.42 × 275.81
  4. Step 4: Simplify right side
    1,006.25x = 416,306.62
  5. Step 5: Solve for x
    x = 416,306.62/1,006.25
  6. Step 6: Final answer
    x = 413.72

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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.