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Finding the Fourth Proportional to 1,178.14, 1,767.70 and 562.28

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Solution

The fourth proportional to 1,178.14, 1,767.70 and 562.28 is: 843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.14 : 1,767.70 = 562.28 : x
  2. Step 2: Convert to fraction form
    1,178.14/1,767.70 = 562.28/x
  3. Step 3: Cross multiply
    1,178.14x = 1,767.70 × 562.28
  4. Step 4: Simplify right side
    1,178.14x = 993,942.36
  5. Step 5: Solve for x
    x = 993,942.36/1,178.14
  6. Step 6: Final answer
    x = 843.65

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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.