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Finding the Fourth Proportional to 771.41, 1,064.89 and 506.24

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Solution

The fourth proportional to 771.41, 1,064.89 and 506.24 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.41 : 1,064.89 = 506.24 : x
  2. Step 2: Convert to fraction form
    771.41/1,064.89 = 506.24/x
  3. Step 3: Cross multiply
    771.41x = 1,064.89 × 506.24
  4. Step 4: Simplify right side
    771.41x = 539,089.91
  5. Step 5: Solve for x
    x = 539,089.91/771.41
  6. Step 6: Final answer
    x = 698.84

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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.