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Finding the Fourth Proportional to 879.69, 1,213.34 and 564.96

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Solution

The fourth proportional to 879.69, 1,213.34 and 564.96 is: 779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.69 : 1,213.34 = 564.96 : x
  2. Step 2: Convert to fraction form
    879.69/1,213.34 = 564.96/x
  3. Step 3: Cross multiply
    879.69x = 1,213.34 × 564.96
  4. Step 4: Simplify right side
    879.69x = 685,488.57
  5. Step 5: Solve for x
    x = 685,488.57/879.69
  6. Step 6: Final answer
    x = 779.24

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1.5x scale

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.