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Finding the Fourth Proportional to 809.27, 1,212.69 and 602.87

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Solution

The fourth proportional to 809.27, 1,212.69 and 602.87 is: 903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.27 : 1,212.69 = 602.87 : x
  2. Step 2: Convert to fraction form
    809.27/1,212.69 = 602.87/x
  3. Step 3: Cross multiply
    809.27x = 1,212.69 × 602.87
  4. Step 4: Simplify right side
    809.27x = 731,094.42
  5. Step 5: Solve for x
    x = 731,094.42/809.27
  6. Step 6: Final answer
    x = 903.40

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Why These Related Problems?

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