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Finding the Fourth Proportional to 1,178.19, 1,767.34 and 657.80

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Solution

The fourth proportional to 1,178.19, 1,767.34 and 657.80 is: 986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.19 : 1,767.34 = 657.80 : x
  2. Step 2: Convert to fraction form
    1,178.19/1,767.34 = 657.80/x
  3. Step 3: Cross multiply
    1,178.19x = 1,767.34 × 657.80
  4. Step 4: Simplify right side
    1,178.19x = 1,162,556.25
  5. Step 5: Solve for x
    x = 1,162,556.25/1,178.19
  6. Step 6: Final answer
    x = 986.73

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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.