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Finding the Fourth Proportional to 879.38, 1,213.38 and 501.28

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Solution

The fourth proportional to 879.38, 1,213.38 and 501.28 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.38 : 1,213.38 = 501.28 : x
  2. Step 2: Convert to fraction form
    879.38/1,213.38 = 501.28/x
  3. Step 3: Cross multiply
    879.38x = 1,213.38 × 501.28
  4. Step 4: Simplify right side
    879.38x = 608,243.13
  5. Step 5: Solve for x
    x = 608,243.13/879.38
  6. Step 6: Final answer
    x = 691.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.