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Finding the Fourth Proportional to 702.01, 967.44 and 502.49

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Solution

The fourth proportional to 702.01, 967.44 and 502.49 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.01 : 967.44 = 502.49 : x
  2. Step 2: Convert to fraction form
    702.01/967.44 = 502.49/x
  3. Step 3: Cross multiply
    702.01x = 967.44 × 502.49
  4. Step 4: Simplify right side
    702.01x = 486,124.68
  5. Step 5: Solve for x
    x = 486,124.68/702.01
  6. Step 6: Final answer
    x = 692.48

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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.