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Finding the Fourth Proportional to 688.13, 947.67 and 626.61

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Solution

The fourth proportional to 688.13, 947.67 and 626.61 is: 862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.13 : 947.67 = 626.61 : x
  2. Step 2: Convert to fraction form
    688.13/947.67 = 626.61/x
  3. Step 3: Cross multiply
    688.13x = 947.67 × 626.61
  4. Step 4: Simplify right side
    688.13x = 593,819.50
  5. Step 5: Solve for x
    x = 593,819.50/688.13
  6. Step 6: Final answer
    x = 862.95

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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.