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Finding the Fourth Proportional to 796.60, 1,194.54 and 509.86

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Solution

The fourth proportional to 796.60, 1,194.54 and 509.86 is: 764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.60 : 1,194.54 = 509.86 : x
  2. Step 2: Convert to fraction form
    796.60/1,194.54 = 509.86/x
  3. Step 3: Cross multiply
    796.60x = 1,194.54 × 509.86
  4. Step 4: Simplify right side
    796.60x = 609,048.16
  5. Step 5: Solve for x
    x = 609,048.16/796.60
  6. Step 6: Final answer
    x = 764.56

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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.