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Finding the Fourth Proportional to 786, 1,180.74 and 512.52

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Solution

The fourth proportional to 786, 1,180.74 and 512.52 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    786 : 1,180.74 = 512.52 : x
  2. Step 2: Convert to fraction form
    786/1,180.74 = 512.52/x
  3. Step 3: Cross multiply
    786x = 1,180.74 × 512.52
  4. Step 4: Simplify right side
    786x = 605,152.86
  5. Step 5: Solve for x
    x = 605,152.86/786
  6. Step 6: Final answer
    x = 769.91

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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.