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Finding the Fourth Proportional to 682.83, 1,026.86 and 544.32

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Solution

The fourth proportional to 682.83, 1,026.86 and 544.32 is: 818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,026.86 = 544.32 : x
  2. Step 2: Convert to fraction form
    682.83/1,026.86 = 544.32/x
  3. Step 3: Cross multiply
    682.83x = 1,026.86 × 544.32
  4. Step 4: Simplify right side
    682.83x = 558,937.71
  5. Step 5: Solve for x
    x = 558,937.71/682.83
  6. Step 6: Final answer
    x = 818.56

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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.