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Finding the Fourth Proportional to 994.10, 1,371.98 and 601.04

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Solution

The fourth proportional to 994.10, 1,371.98 and 601.04 is: 829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.10 : 1,371.98 = 601.04 : x
  2. Step 2: Convert to fraction form
    994.10/1,371.98 = 601.04/x
  3. Step 3: Cross multiply
    994.10x = 1,371.98 × 601.04
  4. Step 4: Simplify right side
    994.10x = 824,619.79
  5. Step 5: Solve for x
    x = 824,619.79/994.10
  6. Step 6: Final answer
    x = 829.52

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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.