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Finding the Fourth Proportional to 1,052.92, 1,578.62 and 504.68

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Solution

The fourth proportional to 1,052.92, 1,578.62 and 504.68 is: 756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.92 : 1,578.62 = 504.68 : x
  2. Step 2: Convert to fraction form
    1,052.92/1,578.62 = 504.68/x
  3. Step 3: Cross multiply
    1,052.92x = 1,578.62 × 504.68
  4. Step 4: Simplify right side
    1,052.92x = 796,697.94
  5. Step 5: Solve for x
    x = 796,697.94/1,052.92
  6. Step 6: Final answer
    x = 756.66

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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.