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Finding the Fourth Proportional to 1,052.43, 1,579.42 and 505.00

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Solution

The fourth proportional to 1,052.43, 1,579.42 and 505.00 is: 757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.43 : 1,579.42 = 505.00 : x
  2. Step 2: Convert to fraction form
    1,052.43/1,579.42 = 505.00/x
  3. Step 3: Cross multiply
    1,052.43x = 1,579.42 × 505.00
  4. Step 4: Simplify right side
    1,052.43x = 797,611.13
  5. Step 5: Solve for x
    x = 797,611.13/1,052.43
  6. Step 6: Final answer
    x = 757.87

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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.