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Finding the Fourth Proportional to 686.28, 947.34 and 453.96

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Solution

The fourth proportional to 686.28, 947.34 and 453.96 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 947.34 = 453.96 : x
  2. Step 2: Convert to fraction form
    686.28/947.34 = 453.96/x
  3. Step 3: Cross multiply
    686.28x = 947.34 × 453.96
  4. Step 4: Simplify right side
    686.28x = 430,054.47
  5. Step 5: Solve for x
    x = 430,054.47/686.28
  6. Step 6: Final answer
    x = 626.65

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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.