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Finding the Fourth Proportional to 880.05, 1,213.37 and 564.76

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Solution

The fourth proportional to 880.05, 1,213.37 and 564.76 is: 778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.05 : 1,213.37 = 564.76 : x
  2. Step 2: Convert to fraction form
    880.05/1,213.37 = 564.76/x
  3. Step 3: Cross multiply
    880.05x = 1,213.37 × 564.76
  4. Step 4: Simplify right side
    880.05x = 685,265.24
  5. Step 5: Solve for x
    x = 685,265.24/880.05
  6. Step 6: Final answer
    x = 778.66

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