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Finding the Fourth Proportional to 1,392.88, 1,921.92 and 803.20

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Solution

The fourth proportional to 1,392.88, 1,921.92 and 803.20 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.88 : 1,921.92 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,392.88/1,921.92 = 803.20/x
  3. Step 3: Cross multiply
    1,392.88x = 1,921.92 × 803.20
  4. Step 4: Simplify right side
    1,392.88x = 1,543,686.14
  5. Step 5: Solve for x
    x = 1,543,686.14/1,392.88
  6. Step 6: Final answer
    x = 1,108.27

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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.