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Finding the Fourth Proportional to 656.92, 984.22 and 473.46

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Solution

The fourth proportional to 656.92, 984.22 and 473.46 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 984.22 = 473.46 : x
  2. Step 2: Convert to fraction form
    656.92/984.22 = 473.46/x
  3. Step 3: Cross multiply
    656.92x = 984.22 × 473.46
  4. Step 4: Simplify right side
    656.92x = 465,988.80
  5. Step 5: Solve for x
    x = 465,988.80/656.92
  6. Step 6: Final answer
    x = 709.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.