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Finding the Fourth Proportional to 1,303.24, 1,952.84 and 814.82

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Solution

The fourth proportional to 1,303.24, 1,952.84 and 814.82 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.24 : 1,952.84 = 814.82 : x
  2. Step 2: Convert to fraction form
    1,303.24/1,952.84 = 814.82/x
  3. Step 3: Cross multiply
    1,303.24x = 1,952.84 × 814.82
  4. Step 4: Simplify right side
    1,303.24x = 1,591,213.09
  5. Step 5: Solve for x
    x = 1,591,213.09/1,303.24
  6. Step 6: Final answer
    x = 1,220.97

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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.