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Finding the Fourth Proportional to 737.92, 1,113.58 and 713.44

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Solution

The fourth proportional to 737.92, 1,113.58 and 713.44 is: 1,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.92 : 1,113.58 = 713.44 : x
  2. Step 2: Convert to fraction form
    737.92/1,113.58 = 713.44/x
  3. Step 3: Cross multiply
    737.92x = 1,113.58 × 713.44
  4. Step 4: Simplify right side
    737.92x = 794,472.52
  5. Step 5: Solve for x
    x = 794,472.52/737.92
  6. Step 6: Final answer
    x = 1,076.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.