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Finding the Fourth Proportional to 808.62, 1,213.65 and 602.70

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Solution

The fourth proportional to 808.62, 1,213.65 and 602.70 is: 904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.62 : 1,213.65 = 602.70 : x
  2. Step 2: Convert to fraction form
    808.62/1,213.65 = 602.70/x
  3. Step 3: Cross multiply
    808.62x = 1,213.65 × 602.70
  4. Step 4: Simplify right side
    808.62x = 731,466.86
  5. Step 5: Solve for x
    x = 731,466.86/808.62
  6. Step 6: Final answer
    x = 904.59

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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.