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Finding the Fourth Proportional to 806.92, 1,208.62 and 590

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Solution

The fourth proportional to 806.92, 1,208.62 and 590 is: 883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.92 : 1,208.62 = 590 : x
  2. Step 2: Convert to fraction form
    806.92/1,208.62 = 590/x
  3. Step 3: Cross multiply
    806.92x = 1,208.62 × 590
  4. Step 4: Simplify right side
    806.92x = 713,085.80
  5. Step 5: Solve for x
    x = 713,085.80/806.92
  6. Step 6: Final answer
    x = 883.71

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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.