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Finding the Fourth Proportional to 994.54, 1,371.72 and 601.06

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Solution

The fourth proportional to 994.54, 1,371.72 and 601.06 is: 829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.54 : 1,371.72 = 601.06 : x
  2. Step 2: Convert to fraction form
    994.54/1,371.72 = 601.06/x
  3. Step 3: Cross multiply
    994.54x = 1,371.72 × 601.06
  4. Step 4: Simplify right side
    994.54x = 824,486.02
  5. Step 5: Solve for x
    x = 824,486.02/994.54
  6. Step 6: Final answer
    x = 829.01

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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.