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Finding the Fourth Proportional to 639.75, 882.39 and 587.46

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Solution

The fourth proportional to 639.75, 882.39 and 587.46 is: 810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.75 : 882.39 = 587.46 : x
  2. Step 2: Convert to fraction form
    639.75/882.39 = 587.46/x
  3. Step 3: Cross multiply
    639.75x = 882.39 × 587.46
  4. Step 4: Simplify right side
    639.75x = 518,368.83
  5. Step 5: Solve for x
    x = 518,368.83/639.75
  6. Step 6: Final answer
    x = 810.27

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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.