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Finding the Fourth Proportional to 1,178.82, 1,767.84 and 409.14

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Solution

The fourth proportional to 1,178.82, 1,767.84 and 409.14 is: 613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.82 : 1,767.84 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,178.82/1,767.84 = 409.14/x
  3. Step 3: Cross multiply
    1,178.82x = 1,767.84 × 409.14
  4. Step 4: Simplify right side
    1,178.82x = 723,294.06
  5. Step 5: Solve for x
    x = 723,294.06/1,178.82
  6. Step 6: Final answer
    x = 613.57

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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.