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Finding the Fourth Proportional to 828.21, 1,142.67 and 565.77

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Solution

The fourth proportional to 828.21, 1,142.67 and 565.77 is: 780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.21 : 1,142.67 = 565.77 : x
  2. Step 2: Convert to fraction form
    828.21/1,142.67 = 565.77/x
  3. Step 3: Cross multiply
    828.21x = 1,142.67 × 565.77
  4. Step 4: Simplify right side
    828.21x = 646,488.41
  5. Step 5: Solve for x
    x = 646,488.41/828.21
  6. Step 6: Final answer
    x = 780.59

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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.