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Finding the Fourth Proportional to 994.08, 1,371.92 and 601.10

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Solution

The fourth proportional to 994.08, 1,371.92 and 601.10 is: 829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.08 : 1,371.92 = 601.10 : x
  2. Step 2: Convert to fraction form
    994.08/1,371.92 = 601.10/x
  3. Step 3: Cross multiply
    994.08x = 1,371.92 × 601.10
  4. Step 4: Simplify right side
    994.08x = 824,661.11
  5. Step 5: Solve for x
    x = 824,661.11/994.08
  6. Step 6: Final answer
    x = 829.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.