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Finding the Fourth Proportional to 1,209.75, 1,813.26 and 559.14

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Solution

The fourth proportional to 1,209.75, 1,813.26 and 559.14 is: 838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.75 : 1,813.26 = 559.14 : x
  2. Step 2: Convert to fraction form
    1,209.75/1,813.26 = 559.14/x
  3. Step 3: Cross multiply
    1,209.75x = 1,813.26 × 559.14
  4. Step 4: Simplify right side
    1,209.75x = 1,013,866.20
  5. Step 5: Solve for x
    x = 1,013,866.20/1,209.75
  6. Step 6: Final answer
    x = 838.08

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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.