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Finding the Fourth Proportional to 768.22, 1,059.72 and 502.30

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Solution

The fourth proportional to 768.22, 1,059.72 and 502.30 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.22 : 1,059.72 = 502.30 : x
  2. Step 2: Convert to fraction form
    768.22/1,059.72 = 502.30/x
  3. Step 3: Cross multiply
    768.22x = 1,059.72 × 502.30
  4. Step 4: Simplify right side
    768.22x = 532,297.36
  5. Step 5: Solve for x
    x = 532,297.36/768.22
  6. Step 6: Final answer
    x = 692.90

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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.