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Finding the Fourth Proportional to 949.08, 1,310.53 and 595.59

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Solution

The fourth proportional to 949.08, 1,310.53 and 595.59 is: 822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.08 : 1,310.53 = 595.59 : x
  2. Step 2: Convert to fraction form
    949.08/1,310.53 = 595.59/x
  3. Step 3: Cross multiply
    949.08x = 1,310.53 × 595.59
  4. Step 4: Simplify right side
    949.08x = 780,538.56
  5. Step 5: Solve for x
    x = 780,538.56/949.08
  6. Step 6: Final answer
    x = 822.42

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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.