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Finding the Fourth Proportional to 1,164.78, 1,747.44 and 343.06

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Solution

The fourth proportional to 1,164.78, 1,747.44 and 343.06 is: 514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.78 : 1,747.44 = 343.06 : x
  2. Step 2: Convert to fraction form
    1,164.78/1,747.44 = 343.06/x
  3. Step 3: Cross multiply
    1,164.78x = 1,747.44 × 343.06
  4. Step 4: Simplify right side
    1,164.78x = 599,476.77
  5. Step 5: Solve for x
    x = 599,476.77/1,164.78
  6. Step 6: Final answer
    x = 514.67

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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.