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Finding the Fourth Proportional to 1,198.06, 1,652.61 and 731.50

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Solution

The fourth proportional to 1,198.06, 1,652.61 and 731.50 is: 1,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.06 : 1,652.61 = 731.50 : x
  2. Step 2: Convert to fraction form
    1,198.06/1,652.61 = 731.50/x
  3. Step 3: Cross multiply
    1,198.06x = 1,652.61 × 731.50
  4. Step 4: Simplify right side
    1,198.06x = 1,208,884.22
  5. Step 5: Solve for x
    x = 1,208,884.22/1,198.06
  6. Step 6: Final answer
    x = 1,009.03

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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.