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Finding the Fourth Proportional to 1,392.64, 1,921.68 and 803.20

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Solution

The fourth proportional to 1,392.64, 1,921.68 and 803.20 is: 1,108.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.64 : 1,921.68 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,392.64/1,921.68 = 803.20/x
  3. Step 3: Cross multiply
    1,392.64x = 1,921.68 × 803.20
  4. Step 4: Simplify right side
    1,392.64x = 1,543,493.38
  5. Step 5: Solve for x
    x = 1,543,493.38/1,392.64
  6. Step 6: Final answer
    x = 1,108.32

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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.