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Finding the Fourth Proportional to 947.57, 1,426.01 and 784.35

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Solution

The fourth proportional to 947.57, 1,426.01 and 784.35 is: 1,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,426.01 = 784.35 : x
  2. Step 2: Convert to fraction form
    947.57/1,426.01 = 784.35/x
  3. Step 3: Cross multiply
    947.57x = 1,426.01 × 784.35
  4. Step 4: Simplify right side
    947.57x = 1,118,487.02
  5. Step 5: Solve for x
    x = 1,118,487.02/947.57
  6. Step 6: Final answer
    x = 1,180.38

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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.