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Finding the Fourth Proportional to 871.06, 1,201.44 and 601.98

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Solution

The fourth proportional to 871.06, 1,201.44 and 601.98 is: 830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.06 : 1,201.44 = 601.98 : x
  2. Step 2: Convert to fraction form
    871.06/1,201.44 = 601.98/x
  3. Step 3: Cross multiply
    871.06x = 1,201.44 × 601.98
  4. Step 4: Simplify right side
    871.06x = 723,239.84
  5. Step 5: Solve for x
    x = 723,239.84/871.06
  6. Step 6: Final answer
    x = 830.30

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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.