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Finding the Fourth Proportional to 994.48, 1,371.96 and 595.92

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Solution

The fourth proportional to 994.48, 1,371.96 and 595.92 is: 822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.48 : 1,371.96 = 595.92 : x
  2. Step 2: Convert to fraction form
    994.48/1,371.96 = 595.92/x
  3. Step 3: Cross multiply
    994.48x = 1,371.96 × 595.92
  4. Step 4: Simplify right side
    994.48x = 817,578.40
  5. Step 5: Solve for x
    x = 817,578.40/994.48
  6. Step 6: Final answer
    x = 822.12

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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.