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Finding the Fourth Proportional to 1,197.20, 1,796.00 and 1,042.02

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Solution

The fourth proportional to 1,197.20, 1,796.00 and 1,042.02 is: 1,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.20 : 1,796.00 = 1,042.02 : x
  2. Step 2: Convert to fraction form
    1,197.20/1,796.00 = 1,042.02/x
  3. Step 3: Cross multiply
    1,197.20x = 1,796.00 × 1,042.02
  4. Step 4: Simplify right side
    1,197.20x = 1,871,462.71
  5. Step 5: Solve for x
    x = 1,871,462.71/1,197.20
  6. Step 6: Final answer
    x = 1,563.20

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