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Finding the Fourth Proportional to 571.08, 793.56 and 565.14

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Solution

The fourth proportional to 571.08, 793.56 and 565.14 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 793.56 = 565.14 : x
  2. Step 2: Convert to fraction form
    571.08/793.56 = 565.14/x
  3. Step 3: Cross multiply
    571.08x = 793.56 × 565.14
  4. Step 4: Simplify right side
    571.08x = 448,472.50
  5. Step 5: Solve for x
    x = 448,472.50/571.08
  6. Step 6: Final answer
    x = 785.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.