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Finding the Fourth Proportional to 1,178.07, 1,767.12 and 397.92

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Solution

The fourth proportional to 1,178.07, 1,767.12 and 397.92 is: 596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.07 : 1,767.12 = 397.92 : x
  2. Step 2: Convert to fraction form
    1,178.07/1,767.12 = 397.92/x
  3. Step 3: Cross multiply
    1,178.07x = 1,767.12 × 397.92
  4. Step 4: Simplify right side
    1,178.07x = 703,172.39
  5. Step 5: Solve for x
    x = 703,172.39/1,178.07
  6. Step 6: Final answer
    x = 596.89

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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.