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Finding the Fourth Proportional to 782.41, 1,078.63 and 594.91

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Solution

The fourth proportional to 782.41, 1,078.63 and 594.91 is: 820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.41 : 1,078.63 = 594.91 : x
  2. Step 2: Convert to fraction form
    782.41/1,078.63 = 594.91/x
  3. Step 3: Cross multiply
    782.41x = 1,078.63 × 594.91
  4. Step 4: Simplify right side
    782.41x = 641,690.98
  5. Step 5: Solve for x
    x = 641,690.98/782.41
  6. Step 6: Final answer
    x = 820.15

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