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Finding the Fourth Proportional to 1,178.33, 1,767.34 and 685.01

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Solution

The fourth proportional to 1,178.33, 1,767.34 and 685.01 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.33 : 1,767.34 = 685.01 : x
  2. Step 2: Convert to fraction form
    1,178.33/1,767.34 = 685.01/x
  3. Step 3: Cross multiply
    1,178.33x = 1,767.34 × 685.01
  4. Step 4: Simplify right side
    1,178.33x = 1,210,645.57
  5. Step 5: Solve for x
    x = 1,210,645.57/1,178.33
  6. Step 6: Final answer
    x = 1,027.42

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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.