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Finding the Fourth Proportional to 1,209.24, 1,813.74 and 343.62

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Solution

The fourth proportional to 1,209.24, 1,813.74 and 343.62 is: 515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.24 : 1,813.74 = 343.62 : x
  2. Step 2: Convert to fraction form
    1,209.24/1,813.74 = 343.62/x
  3. Step 3: Cross multiply
    1,209.24x = 1,813.74 × 343.62
  4. Step 4: Simplify right side
    1,209.24x = 623,237.34
  5. Step 5: Solve for x
    x = 623,237.34/1,209.24
  6. Step 6: Final answer
    x = 515.40

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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.