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Finding the Fourth Proportional to 1,053.72, 1,578.74 and 505.17

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Solution

The fourth proportional to 1,053.72, 1,578.74 and 505.17 is: 756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.72 : 1,578.74 = 505.17 : x
  2. Step 2: Convert to fraction form
    1,053.72/1,578.74 = 505.17/x
  3. Step 3: Cross multiply
    1,053.72x = 1,578.74 × 505.17
  4. Step 4: Simplify right side
    1,053.72x = 797,529.56
  5. Step 5: Solve for x
    x = 797,529.56/1,053.72
  6. Step 6: Final answer
    x = 756.87

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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.