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Finding the Fourth Proportional to 805.84, 1,207.20 and 512.40

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Solution

The fourth proportional to 805.84, 1,207.20 and 512.40 is: 767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.84 : 1,207.20 = 512.40 : x
  2. Step 2: Convert to fraction form
    805.84/1,207.20 = 512.40/x
  3. Step 3: Cross multiply
    805.84x = 1,207.20 × 512.40
  4. Step 4: Simplify right side
    805.84x = 618,569.28
  5. Step 5: Solve for x
    x = 618,569.28/805.84
  6. Step 6: Final answer
    x = 767.61

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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.