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Finding the Fourth Proportional to 690.72, 952.92 and 480.84

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Solution

The fourth proportional to 690.72, 952.92 and 480.84 is: 663.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.72 : 952.92 = 480.84 : x
  2. Step 2: Convert to fraction form
    690.72/952.92 = 480.84/x
  3. Step 3: Cross multiply
    690.72x = 952.92 × 480.84
  4. Step 4: Simplify right side
    690.72x = 458,202.05
  5. Step 5: Solve for x
    x = 458,202.05/690.72
  6. Step 6: Final answer
    x = 663.37

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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.