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Finding the Fourth Proportional to 673.13, 926.69 and 585.78

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Solution

The fourth proportional to 673.13, 926.69 and 585.78 is: 806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.13 : 926.69 = 585.78 : x
  2. Step 2: Convert to fraction form
    673.13/926.69 = 585.78/x
  3. Step 3: Cross multiply
    673.13x = 926.69 × 585.78
  4. Step 4: Simplify right side
    673.13x = 542,833.54
  5. Step 5: Solve for x
    x = 542,833.54/673.13
  6. Step 6: Final answer
    x = 806.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.