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Finding the Fourth Proportional to 686.36, 947.07 and 391.52

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Solution

The fourth proportional to 686.36, 947.07 and 391.52 is: 540.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.36 : 947.07 = 391.52 : x
  2. Step 2: Convert to fraction form
    686.36/947.07 = 391.52/x
  3. Step 3: Cross multiply
    686.36x = 947.07 × 391.52
  4. Step 4: Simplify right side
    686.36x = 370,792.11
  5. Step 5: Solve for x
    x = 370,792.11/686.36
  6. Step 6: Final answer
    x = 540.23

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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.