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Finding the Fourth Proportional to 569.79, 852.53 and 512.96

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Solution

The fourth proportional to 569.79, 852.53 and 512.96 is: 767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.79 : 852.53 = 512.96 : x
  2. Step 2: Convert to fraction form
    569.79/852.53 = 512.96/x
  3. Step 3: Cross multiply
    569.79x = 852.53 × 512.96
  4. Step 4: Simplify right side
    569.79x = 437,306.96
  5. Step 5: Solve for x
    x = 437,306.96/569.79
  6. Step 6: Final answer
    x = 767.49

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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.