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Finding the Fourth Proportional to 1,397.99, 2,096.98 and 424.09

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Solution

The fourth proportional to 1,397.99, 2,096.98 and 424.09 is: 636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.99 : 2,096.98 = 424.09 : x
  2. Step 2: Convert to fraction form
    1,397.99/2,096.98 = 424.09/x
  3. Step 3: Cross multiply
    1,397.99x = 2,096.98 × 424.09
  4. Step 4: Simplify right side
    1,397.99x = 889,308.25
  5. Step 5: Solve for x
    x = 889,308.25/1,397.99
  6. Step 6: Final answer
    x = 636.14

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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.