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Finding the Fourth Proportional to 878.99, 1,213.17 and 564.65

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Solution

The fourth proportional to 878.99, 1,213.17 and 564.65 is: 779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.99 : 1,213.17 = 564.65 : x
  2. Step 2: Convert to fraction form
    878.99/1,213.17 = 564.65/x
  3. Step 3: Cross multiply
    878.99x = 1,213.17 × 564.65
  4. Step 4: Simplify right side
    878.99x = 685,010.37
  5. Step 5: Solve for x
    x = 685,010.37/878.99
  6. Step 6: Final answer
    x = 779.32

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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.