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Finding the Fourth Proportional to 947.88, 1,419.46 and 810.72

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Solution

The fourth proportional to 947.88, 1,419.46 and 810.72 is: 1,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.88 : 1,419.46 = 810.72 : x
  2. Step 2: Convert to fraction form
    947.88/1,419.46 = 810.72/x
  3. Step 3: Cross multiply
    947.88x = 1,419.46 × 810.72
  4. Step 4: Simplify right side
    947.88x = 1,150,784.61
  5. Step 5: Solve for x
    x = 1,150,784.61/947.88
  6. Step 6: Final answer
    x = 1,214.06

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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.