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Finding the Fourth Proportional to 1,006.12, 1,509.20 and 275.71

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Solution

The fourth proportional to 1,006.12, 1,509.20 and 275.71 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.12 : 1,509.20 = 275.71 : x
  2. Step 2: Convert to fraction form
    1,006.12/1,509.20 = 275.71/x
  3. Step 3: Cross multiply
    1,006.12x = 1,509.20 × 275.71
  4. Step 4: Simplify right side
    1,006.12x = 416,101.53
  5. Step 5: Solve for x
    x = 416,101.53/1,006.12
  6. Step 6: Final answer
    x = 413.57

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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.