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Finding the Fourth Proportional to 639.90, 959.04 and 588.06

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Solution

The fourth proportional to 639.90, 959.04 and 588.06 is: 881.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.90 : 959.04 = 588.06 : x
  2. Step 2: Convert to fraction form
    639.90/959.04 = 588.06/x
  3. Step 3: Cross multiply
    639.90x = 959.04 × 588.06
  4. Step 4: Simplify right side
    639.90x = 563,973.06
  5. Step 5: Solve for x
    x = 563,973.06/639.90
  6. Step 6: Final answer
    x = 881.35

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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.