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Finding the Fourth Proportional to 1,299, 1,948.50 and 433.38

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Solution

The fourth proportional to 1,299, 1,948.50 and 433.38 is: 650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299 : 1,948.50 = 433.38 : x
  2. Step 2: Convert to fraction form
    1,299/1,948.50 = 433.38/x
  3. Step 3: Cross multiply
    1,299x = 1,948.50 × 433.38
  4. Step 4: Simplify right side
    1,299x = 844,440.93
  5. Step 5: Solve for x
    x = 844,440.93/1,299
  6. Step 6: Final answer
    x = 650.07

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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.