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Finding the Fourth Proportional to 713.66, 984.81 and 465.04

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Solution

The fourth proportional to 713.66, 984.81 and 465.04 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 984.81 = 465.04 : x
  2. Step 2: Convert to fraction form
    713.66/984.81 = 465.04/x
  3. Step 3: Cross multiply
    713.66x = 984.81 × 465.04
  4. Step 4: Simplify right side
    713.66x = 457,976.40
  5. Step 5: Solve for x
    x = 457,976.40/713.66
  6. Step 6: Final answer
    x = 641.73

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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.