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Finding the Fourth Proportional to 686.80, 947.79 and 634.48

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Solution

The fourth proportional to 686.80, 947.79 and 634.48 is: 875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.80 : 947.79 = 634.48 : x
  2. Step 2: Convert to fraction form
    686.80/947.79 = 634.48/x
  3. Step 3: Cross multiply
    686.80x = 947.79 × 634.48
  4. Step 4: Simplify right side
    686.80x = 601,353.80
  5. Step 5: Solve for x
    x = 601,353.80/686.80
  6. Step 6: Final answer
    x = 875.59

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1.5x scale

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.