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Finding the Fourth Proportional to 713.58, 984.12 and 477.54

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Solution

The fourth proportional to 713.58, 984.12 and 477.54 is: 658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 984.12 = 477.54 : x
  2. Step 2: Convert to fraction form
    713.58/984.12 = 477.54/x
  3. Step 3: Cross multiply
    713.58x = 984.12 × 477.54
  4. Step 4: Simplify right side
    713.58x = 469,956.66
  5. Step 5: Solve for x
    x = 469,956.66/713.58
  6. Step 6: Final answer
    x = 658.59

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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.