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Finding the Fourth Proportional to 798.02, 1,197.04 and 755.90

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Solution

The fourth proportional to 798.02, 1,197.04 and 755.90 is: 1,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,197.04 = 755.90 : x
  2. Step 2: Convert to fraction form
    798.02/1,197.04 = 755.90/x
  3. Step 3: Cross multiply
    798.02x = 1,197.04 × 755.90
  4. Step 4: Simplify right side
    798.02x = 904,842.54
  5. Step 5: Solve for x
    x = 904,842.54/798.02
  6. Step 6: Final answer
    x = 1,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.