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Finding the Fourth Proportional to 1,300, 1,949.39 and 433.71

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Solution

The fourth proportional to 1,300, 1,949.39 and 433.71 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 1,949.39 = 433.71 : x
  2. Step 2: Convert to fraction form
    1,300/1,949.39 = 433.71/x
  3. Step 3: Cross multiply
    1,300x = 1,949.39 × 433.71
  4. Step 4: Simplify right side
    1,300x = 845,461.27
  5. Step 5: Solve for x
    x = 845,461.27/1,300
  6. Step 6: Final answer
    x = 650.35

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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.