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Finding the Fourth Proportional to 574.53, 793.65 and 512.34

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Solution

The fourth proportional to 574.53, 793.65 and 512.34 is: 707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 793.65 = 512.34 : x
  2. Step 2: Convert to fraction form
    574.53/793.65 = 512.34/x
  3. Step 3: Cross multiply
    574.53x = 793.65 × 512.34
  4. Step 4: Simplify right side
    574.53x = 406,617.59
  5. Step 5: Solve for x
    x = 406,617.59/574.53
  6. Step 6: Final answer
    x = 707.74

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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.