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Finding the Fourth Proportional to 713.72, 984.93 and 414.86

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Solution

The fourth proportional to 713.72, 984.93 and 414.86 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.72 : 984.93 = 414.86 : x
  2. Step 2: Convert to fraction form
    713.72/984.93 = 414.86/x
  3. Step 3: Cross multiply
    713.72x = 984.93 × 414.86
  4. Step 4: Simplify right side
    713.72x = 408,608.06
  5. Step 5: Solve for x
    x = 408,608.06/713.72
  6. Step 6: Final answer
    x = 572.50

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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.