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Finding the Fourth Proportional to 786.24, 1,178.56 and 512.88

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Solution

The fourth proportional to 786.24, 1,178.56 and 512.88 is: 768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.24 : 1,178.56 = 512.88 : x
  2. Step 2: Convert to fraction form
    786.24/1,178.56 = 512.88/x
  3. Step 3: Cross multiply
    786.24x = 1,178.56 × 512.88
  4. Step 4: Simplify right side
    786.24x = 604,459.85
  5. Step 5: Solve for x
    x = 604,459.85/786.24
  6. Step 6: Final answer
    x = 768.80

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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.