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Finding the Fourth Proportional to 1,396.75, 2,095.19 and 472.41

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Solution

The fourth proportional to 1,396.75, 2,095.19 and 472.41 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.75 : 2,095.19 = 472.41 : x
  2. Step 2: Convert to fraction form
    1,396.75/2,095.19 = 472.41/x
  3. Step 3: Cross multiply
    1,396.75x = 2,095.19 × 472.41
  4. Step 4: Simplify right side
    1,396.75x = 989,788.71
  5. Step 5: Solve for x
    x = 989,788.71/1,396.75
  6. Step 6: Final answer
    x = 708.64

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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.