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Finding the Fourth Proportional to 771.43, 1,064.23 and 506.16

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Solution

The fourth proportional to 771.43, 1,064.23 and 506.16 is: 698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.43 : 1,064.23 = 506.16 : x
  2. Step 2: Convert to fraction form
    771.43/1,064.23 = 506.16/x
  3. Step 3: Cross multiply
    771.43x = 1,064.23 × 506.16
  4. Step 4: Simplify right side
    771.43x = 538,670.66
  5. Step 5: Solve for x
    x = 538,670.66/771.43
  6. Step 6: Final answer
    x = 698.28

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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.