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Finding the Fourth Proportional to 713.58, 984.46 and 451.78

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Solution

The fourth proportional to 713.58, 984.46 and 451.78 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.58 : 984.46 = 451.78 : x
  2. Step 2: Convert to fraction form
    713.58/984.46 = 451.78/x
  3. Step 3: Cross multiply
    713.58x = 984.46 × 451.78
  4. Step 4: Simplify right side
    713.58x = 444,759.34
  5. Step 5: Solve for x
    x = 444,759.34/713.58
  6. Step 6: Final answer
    x = 623.28

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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.