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Finding the Fourth Proportional to 639.94, 882.48 and 596.26

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Solution

The fourth proportional to 639.94, 882.48 and 596.26 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.94 : 882.48 = 596.26 : x
  2. Step 2: Convert to fraction form
    639.94/882.48 = 596.26/x
  3. Step 3: Cross multiply
    639.94x = 882.48 × 596.26
  4. Step 4: Simplify right side
    639.94x = 526,187.52
  5. Step 5: Solve for x
    x = 526,187.52/639.94
  6. Step 6: Final answer
    x = 822.25

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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.