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Finding the Fourth Proportional to 631.61, 871.78 and 569.33

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Solution

The fourth proportional to 631.61, 871.78 and 569.33 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.61 : 871.78 = 569.33 : x
  2. Step 2: Convert to fraction form
    631.61/871.78 = 569.33/x
  3. Step 3: Cross multiply
    631.61x = 871.78 × 569.33
  4. Step 4: Simplify right side
    631.61x = 496,324.73
  5. Step 5: Solve for x
    x = 496,324.73/631.61
  6. Step 6: Final answer
    x = 785.82

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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.