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Finding the Fourth Proportional to 949.88, 1,310.58 and 595.97

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Solution

The fourth proportional to 949.88, 1,310.58 and 595.97 is: 822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.88 : 1,310.58 = 595.97 : x
  2. Step 2: Convert to fraction form
    949.88/1,310.58 = 595.97/x
  3. Step 3: Cross multiply
    949.88x = 1,310.58 × 595.97
  4. Step 4: Simplify right side
    949.88x = 781,072.10
  5. Step 5: Solve for x
    x = 781,072.10/949.88
  6. Step 6: Final answer
    x = 822.29

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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.