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Finding the Fourth Proportional to 816.86, 1,127.23 and 462.80

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Solution

The fourth proportional to 816.86, 1,127.23 and 462.80 is: 638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,127.23 = 462.80 : x
  2. Step 2: Convert to fraction form
    816.86/1,127.23 = 462.80/x
  3. Step 3: Cross multiply
    816.86x = 1,127.23 × 462.80
  4. Step 4: Simplify right side
    816.86x = 521,682.04
  5. Step 5: Solve for x
    x = 521,682.04/816.86
  6. Step 6: Final answer
    x = 638.64

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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.