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Finding the Fourth Proportional to 1,209.86, 1,816.31 and 1,006.91

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Solution

The fourth proportional to 1,209.86, 1,816.31 and 1,006.91 is: 1,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.86 : 1,816.31 = 1,006.91 : x
  2. Step 2: Convert to fraction form
    1,209.86/1,816.31 = 1,006.91/x
  3. Step 3: Cross multiply
    1,209.86x = 1,816.31 × 1,006.91
  4. Step 4: Simplify right side
    1,209.86x = 1,828,854.14
  5. Step 5: Solve for x
    x = 1,828,854.14/1,209.86
  6. Step 6: Final answer
    x = 1,511.63

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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.