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Finding the Fourth Proportional to 686.39, 947.66 and 616.32

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Solution

The fourth proportional to 686.39, 947.66 and 616.32 is: 850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.39 : 947.66 = 616.32 : x
  2. Step 2: Convert to fraction form
    686.39/947.66 = 616.32/x
  3. Step 3: Cross multiply
    686.39x = 947.66 × 616.32
  4. Step 4: Simplify right side
    686.39x = 584,058.73
  5. Step 5: Solve for x
    x = 584,058.73/686.39
  6. Step 6: Final answer
    x = 850.92

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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.