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Finding the Fourth Proportional to 947.66, 1,422.32 and 509.28

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Solution

The fourth proportional to 947.66, 1,422.32 and 509.28 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.66 : 1,422.32 = 509.28 : x
  2. Step 2: Convert to fraction form
    947.66/1,422.32 = 509.28/x
  3. Step 3: Cross multiply
    947.66x = 1,422.32 × 509.28
  4. Step 4: Simplify right side
    947.66x = 724,359.13
  5. Step 5: Solve for x
    x = 724,359.13/947.66
  6. Step 6: Final answer
    x = 764.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.