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Finding the Fourth Proportional to 947.04, 1,410.96 and 943.20

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Solution

The fourth proportional to 947.04, 1,410.96 and 943.20 is: 1,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,410.96 = 943.20 : x
  2. Step 2: Convert to fraction form
    947.04/1,410.96 = 943.20/x
  3. Step 3: Cross multiply
    947.04x = 1,410.96 × 943.20
  4. Step 4: Simplify right side
    947.04x = 1,330,817.47
  5. Step 5: Solve for x
    x = 1,330,817.47/947.04
  6. Step 6: Final answer
    x = 1,405.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.