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Finding the Fourth Proportional to 1,392.92, 1,921.67 and 803.34

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Solution

The fourth proportional to 1,392.92, 1,921.67 and 803.34 is: 1,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.92 : 1,921.67 = 803.34 : x
  2. Step 2: Convert to fraction form
    1,392.92/1,921.67 = 803.34/x
  3. Step 3: Cross multiply
    1,392.92x = 1,921.67 × 803.34
  4. Step 4: Simplify right side
    1,392.92x = 1,543,750.36
  5. Step 5: Solve for x
    x = 1,543,750.36/1,392.92
  6. Step 6: Final answer
    x = 1,108.29

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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.