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Finding the Fourth Proportional to 767.21, 1,058.96 and 610.11

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Solution

The fourth proportional to 767.21, 1,058.96 and 610.11 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.21 : 1,058.96 = 610.11 : x
  2. Step 2: Convert to fraction form
    767.21/1,058.96 = 610.11/x
  3. Step 3: Cross multiply
    767.21x = 1,058.96 × 610.11
  4. Step 4: Simplify right side
    767.21x = 646,083.61
  5. Step 5: Solve for x
    x = 646,083.61/767.21
  6. Step 6: Final answer
    x = 842.13

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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.