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Finding the Fourth Proportional to 947.85, 1,422.63 and 509.46

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Solution

The fourth proportional to 947.85, 1,422.63 and 509.46 is: 764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.85 : 1,422.63 = 509.46 : x
  2. Step 2: Convert to fraction form
    947.85/1,422.63 = 509.46/x
  3. Step 3: Cross multiply
    947.85x = 1,422.63 × 509.46
  4. Step 4: Simplify right side
    947.85x = 724,773.08
  5. Step 5: Solve for x
    x = 724,773.08/947.85
  6. Step 6: Final answer
    x = 764.65

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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.