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Finding the Fourth Proportional to 575.76, 793.96 and 512.54

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Solution

The fourth proportional to 575.76, 793.96 and 512.54 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.76 : 793.96 = 512.54 : x
  2. Step 2: Convert to fraction form
    575.76/793.96 = 512.54/x
  3. Step 3: Cross multiply
    575.76x = 793.96 × 512.54
  4. Step 4: Simplify right side
    575.76x = 406,936.26
  5. Step 5: Solve for x
    x = 406,936.26/575.76
  6. Step 6: Final answer
    x = 706.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.