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Finding the Fourth Proportional to 686.06, 946.75 and 391.33

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Solution

The fourth proportional to 686.06, 946.75 and 391.33 is: 540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.06 : 946.75 = 391.33 : x
  2. Step 2: Convert to fraction form
    686.06/946.75 = 391.33/x
  3. Step 3: Cross multiply
    686.06x = 946.75 × 391.33
  4. Step 4: Simplify right side
    686.06x = 370,496.71
  5. Step 5: Solve for x
    x = 370,496.71/686.06
  6. Step 6: Final answer
    x = 540.03

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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.