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Finding the Fourth Proportional to 949.19, 1,309.57 and 595.42

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Solution

The fourth proportional to 949.19, 1,309.57 and 595.42 is: 821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.19 : 1,309.57 = 595.42 : x
  2. Step 2: Convert to fraction form
    949.19/1,309.57 = 595.42/x
  3. Step 3: Cross multiply
    949.19x = 1,309.57 × 595.42
  4. Step 4: Simplify right side
    949.19x = 779,739.41
  5. Step 5: Solve for x
    x = 779,739.41/949.19
  6. Step 6: Final answer
    x = 821.48

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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.