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Finding the Fourth Proportional to 1,209.05, 1,813.57 and 387.20

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Solution

The fourth proportional to 1,209.05, 1,813.57 and 387.20 is: 580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.05 : 1,813.57 = 387.20 : x
  2. Step 2: Convert to fraction form
    1,209.05/1,813.57 = 387.20/x
  3. Step 3: Cross multiply
    1,209.05x = 1,813.57 × 387.20
  4. Step 4: Simplify right side
    1,209.05x = 702,214.30
  5. Step 5: Solve for x
    x = 702,214.30/1,209.05
  6. Step 6: Final answer
    x = 580.80

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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.