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Finding the Fourth Proportional to 686.75, 947.34 and 450.72

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Solution

The fourth proportional to 686.75, 947.34 and 450.72 is: 621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 947.34 = 450.72 : x
  2. Step 2: Convert to fraction form
    686.75/947.34 = 450.72/x
  3. Step 3: Cross multiply
    686.75x = 947.34 × 450.72
  4. Step 4: Simplify right side
    686.75x = 426,985.08
  5. Step 5: Solve for x
    x = 426,985.08/686.75
  6. Step 6: Final answer
    x = 621.75

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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.