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Finding the Fourth Proportional to 1,206.83, 1,665.16 and 764.57

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Solution

The fourth proportional to 1,206.83, 1,665.16 and 764.57 is: 1,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.83 : 1,665.16 = 764.57 : x
  2. Step 2: Convert to fraction form
    1,206.83/1,665.16 = 764.57/x
  3. Step 3: Cross multiply
    1,206.83x = 1,665.16 × 764.57
  4. Step 4: Simplify right side
    1,206.83x = 1,273,127.56
  5. Step 5: Solve for x
    x = 1,273,127.56/1,206.83
  6. Step 6: Final answer
    x = 1,054.94

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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.