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Finding the Fourth Proportional to 808.19, 1,212.26 and 500.57

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Solution

The fourth proportional to 808.19, 1,212.26 and 500.57 is: 750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.19 : 1,212.26 = 500.57 : x
  2. Step 2: Convert to fraction form
    808.19/1,212.26 = 500.57/x
  3. Step 3: Cross multiply
    808.19x = 1,212.26 × 500.57
  4. Step 4: Simplify right side
    808.19x = 606,818.49
  5. Step 5: Solve for x
    x = 606,818.49/808.19
  6. Step 6: Final answer
    x = 750.84

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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.