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Finding the Fourth Proportional to 1,392.27, 1,921.51 and 832.74

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Solution

The fourth proportional to 1,392.27, 1,921.51 and 832.74 is: 1,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.27 : 1,921.51 = 832.74 : x
  2. Step 2: Convert to fraction form
    1,392.27/1,921.51 = 832.74/x
  3. Step 3: Cross multiply
    1,392.27x = 1,921.51 × 832.74
  4. Step 4: Simplify right side
    1,392.27x = 1,600,118.24
  5. Step 5: Solve for x
    x = 1,600,118.24/1,392.27
  6. Step 6: Final answer
    x = 1,149.29

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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.