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Finding the Fourth Proportional to 713.70, 984.92 and 419.06

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Solution

The fourth proportional to 713.70, 984.92 and 419.06 is: 578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.70 : 984.92 = 419.06 : x
  2. Step 2: Convert to fraction form
    713.70/984.92 = 419.06/x
  3. Step 3: Cross multiply
    713.70x = 984.92 × 419.06
  4. Step 4: Simplify right side
    713.70x = 412,740.58
  5. Step 5: Solve for x
    x = 412,740.58/713.70
  6. Step 6: Final answer
    x = 578.31

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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.