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Finding the Fourth Proportional to 565.52, 848.34 and 513.27

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Solution

The fourth proportional to 565.52, 848.34 and 513.27 is: 769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.52 : 848.34 = 513.27 : x
  2. Step 2: Convert to fraction form
    565.52/848.34 = 513.27/x
  3. Step 3: Cross multiply
    565.52x = 848.34 × 513.27
  4. Step 4: Simplify right side
    565.52x = 435,427.47
  5. Step 5: Solve for x
    x = 435,427.47/565.52
  6. Step 6: Final answer
    x = 769.97

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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.