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Finding the Fourth Proportional to 1,206.87, 1,665.77 and 683.20

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Solution

The fourth proportional to 1,206.87, 1,665.77 and 683.20 is: 942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.87 : 1,665.77 = 683.20 : x
  2. Step 2: Convert to fraction form
    1,206.87/1,665.77 = 683.20/x
  3. Step 3: Cross multiply
    1,206.87x = 1,665.77 × 683.20
  4. Step 4: Simplify right side
    1,206.87x = 1,138,054.06
  5. Step 5: Solve for x
    x = 1,138,054.06/1,206.87
  6. Step 6: Final answer
    x = 942.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.