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Finding the Fourth Proportional to 1,299.14, 1,949 and 421.70

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Solution

The fourth proportional to 1,299.14, 1,949 and 421.70 is: 632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.14 : 1,949 = 421.70 : x
  2. Step 2: Convert to fraction form
    1,299.14/1,949 = 421.70/x
  3. Step 3: Cross multiply
    1,299.14x = 1,949 × 421.70
  4. Step 4: Simplify right side
    1,299.14x = 821,893.30
  5. Step 5: Solve for x
    x = 821,893.30/1,299.14
  6. Step 6: Final answer
    x = 632.64

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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.