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Finding the Fourth Proportional to 1,311.42, 1,798.02 and 1,288.02

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Solution

The fourth proportional to 1,311.42, 1,798.02 and 1,288.02 is: 1,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.42 : 1,798.02 = 1,288.02 : x
  2. Step 2: Convert to fraction form
    1,311.42/1,798.02 = 1,288.02/x
  3. Step 3: Cross multiply
    1,311.42x = 1,798.02 × 1,288.02
  4. Step 4: Simplify right side
    1,311.42x = 2,315,885.72
  5. Step 5: Solve for x
    x = 2,315,885.72/1,311.42
  6. Step 6: Final answer
    x = 1,765.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.