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Finding the Fourth Proportional to 1,311.19, 1,965.97 and 618.00

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Solution

The fourth proportional to 1,311.19, 1,965.97 and 618.00 is: 926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.19 : 1,965.97 = 618.00 : x
  2. Step 2: Convert to fraction form
    1,311.19/1,965.97 = 618.00/x
  3. Step 3: Cross multiply
    1,311.19x = 1,965.97 × 618.00
  4. Step 4: Simplify right side
    1,311.19x = 1,214,962.86
  5. Step 5: Solve for x
    x = 1,214,962.86/1,311.19
  6. Step 6: Final answer
    x = 926.61

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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.