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Finding the Fourth Proportional to 688.07, 949.84 and 502.92

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Solution

The fourth proportional to 688.07, 949.84 and 502.92 is: 694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.07 : 949.84 = 502.92 : x
  2. Step 2: Convert to fraction form
    688.07/949.84 = 502.92/x
  3. Step 3: Cross multiply
    688.07x = 949.84 × 502.92
  4. Step 4: Simplify right side
    688.07x = 477,692.28
  5. Step 5: Solve for x
    x = 477,692.28/688.07
  6. Step 6: Final answer
    x = 694.25

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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.