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Finding the Fourth Proportional to 569.26, 849.16 and 514.54

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Solution

The fourth proportional to 569.26, 849.16 and 514.54 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.26 : 849.16 = 514.54 : x
  2. Step 2: Convert to fraction form
    569.26/849.16 = 514.54/x
  3. Step 3: Cross multiply
    569.26x = 849.16 × 514.54
  4. Step 4: Simplify right side
    569.26x = 436,926.79
  5. Step 5: Solve for x
    x = 436,926.79/569.26
  6. Step 6: Final answer
    x = 767.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.