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Finding the Fourth Proportional to 1,311.89, 1,967.72 and 618.12

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Solution

The fourth proportional to 1,311.89, 1,967.72 and 618.12 is: 927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.89 : 1,967.72 = 618.12 : x
  2. Step 2: Convert to fraction form
    1,311.89/1,967.72 = 618.12/x
  3. Step 3: Cross multiply
    1,311.89x = 1,967.72 × 618.12
  4. Step 4: Simplify right side
    1,311.89x = 1,216,284.00
  5. Step 5: Solve for x
    x = 1,216,284.00/1,311.89
  6. Step 6: Final answer
    x = 927.13

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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.