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Finding the Fourth Proportional to 1,396.08, 2,093.69 and 506.51

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Solution

The fourth proportional to 1,396.08, 2,093.69 and 506.51 is: 759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.08 : 2,093.69 = 506.51 : x
  2. Step 2: Convert to fraction form
    1,396.08/2,093.69 = 506.51/x
  3. Step 3: Cross multiply
    1,396.08x = 2,093.69 × 506.51
  4. Step 4: Simplify right side
    1,396.08x = 1,060,461.92
  5. Step 5: Solve for x
    x = 1,060,461.92/1,396.08
  6. Step 6: Final answer
    x = 759.60

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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.