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Finding the Fourth Proportional to 768.08, 1,152.15 and 509.74

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Solution

The fourth proportional to 768.08, 1,152.15 and 509.74 is: 764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.08 : 1,152.15 = 509.74 : x
  2. Step 2: Convert to fraction form
    768.08/1,152.15 = 509.74/x
  3. Step 3: Cross multiply
    768.08x = 1,152.15 × 509.74
  4. Step 4: Simplify right side
    768.08x = 587,296.94
  5. Step 5: Solve for x
    x = 587,296.94/768.08
  6. Step 6: Final answer
    x = 764.63

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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.