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Finding the Fourth Proportional to 1,209.19, 1,813.49 and 331.70

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Solution

The fourth proportional to 1,209.19, 1,813.49 and 331.70 is: 497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.19 : 1,813.49 = 331.70 : x
  2. Step 2: Convert to fraction form
    1,209.19/1,813.49 = 331.70/x
  3. Step 3: Cross multiply
    1,209.19x = 1,813.49 × 331.70
  4. Step 4: Simplify right side
    1,209.19x = 601,525.57
  5. Step 5: Solve for x
    x = 601,525.57/1,209.19
  6. Step 6: Final answer
    x = 497.46

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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.