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Finding the Fourth Proportional to 808.88, 1,212.96 and 565.52

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Solution

The fourth proportional to 808.88, 1,212.96 and 565.52 is: 848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.88 : 1,212.96 = 565.52 : x
  2. Step 2: Convert to fraction form
    808.88/1,212.96 = 565.52/x
  3. Step 3: Cross multiply
    808.88x = 1,212.96 × 565.52
  4. Step 4: Simplify right side
    808.88x = 685,953.14
  5. Step 5: Solve for x
    x = 685,953.14/808.88
  6. Step 6: Final answer
    x = 848.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.