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Finding the Fourth Proportional to 1,206.40, 1,813.65 and 1,028.20

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Solution

The fourth proportional to 1,206.40, 1,813.65 and 1,028.20 is: 1,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.40 : 1,813.65 = 1,028.20 : x
  2. Step 2: Convert to fraction form
    1,206.40/1,813.65 = 1,028.20/x
  3. Step 3: Cross multiply
    1,206.40x = 1,813.65 × 1,028.20
  4. Step 4: Simplify right side
    1,206.40x = 1,864,794.93
  5. Step 5: Solve for x
    x = 1,864,794.93/1,206.40
  6. Step 6: Final answer
    x = 1,545.75

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1.5x scale

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.