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Finding the Fourth Proportional to 1,523.94, 2,286.10 and 483.66

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Solution

The fourth proportional to 1,523.94, 2,286.10 and 483.66 is: 725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.94 : 2,286.10 = 483.66 : x
  2. Step 2: Convert to fraction form
    1,523.94/2,286.10 = 483.66/x
  3. Step 3: Cross multiply
    1,523.94x = 2,286.10 × 483.66
  4. Step 4: Simplify right side
    1,523.94x = 1,105,695.13
  5. Step 5: Solve for x
    x = 1,105,695.13/1,523.94
  6. Step 6: Final answer
    x = 725.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.