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Finding the Fourth Proportional to 806.96, 1,207.68 and 498.68

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Solution

The fourth proportional to 806.96, 1,207.68 and 498.68 is: 746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.96 : 1,207.68 = 498.68 : x
  2. Step 2: Convert to fraction form
    806.96/1,207.68 = 498.68/x
  3. Step 3: Cross multiply
    806.96x = 1,207.68 × 498.68
  4. Step 4: Simplify right side
    806.96x = 602,245.86
  5. Step 5: Solve for x
    x = 602,245.86/806.96
  6. Step 6: Final answer
    x = 746.31

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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.