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Finding the Fourth Proportional to 771.22, 1,064.34 and 508.78

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Solution

The fourth proportional to 771.22, 1,064.34 and 508.78 is: 702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.22 : 1,064.34 = 508.78 : x
  2. Step 2: Convert to fraction form
    771.22/1,064.34 = 508.78/x
  3. Step 3: Cross multiply
    771.22x = 1,064.34 × 508.78
  4. Step 4: Simplify right side
    771.22x = 541,516.24
  5. Step 5: Solve for x
    x = 541,516.24/771.22
  6. Step 6: Final answer
    x = 702.15

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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.