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Finding the Fourth Proportional to 1,396.99, 2,095.71 and 423.01

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Solution

The fourth proportional to 1,396.99, 2,095.71 and 423.01 is: 634.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.99 : 2,095.71 = 423.01 : x
  2. Step 2: Convert to fraction form
    1,396.99/2,095.71 = 423.01/x
  3. Step 3: Cross multiply
    1,396.99x = 2,095.71 × 423.01
  4. Step 4: Simplify right side
    1,396.99x = 886,506.29
  5. Step 5: Solve for x
    x = 886,506.29/1,396.99
  6. Step 6: Final answer
    x = 634.58

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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.