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Finding the Fourth Proportional to 1,255.49, 1,882.63 and 433.48

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Solution

The fourth proportional to 1,255.49, 1,882.63 and 433.48 is: 650.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.49 : 1,882.63 = 433.48 : x
  2. Step 2: Convert to fraction form
    1,255.49/1,882.63 = 433.48/x
  3. Step 3: Cross multiply
    1,255.49x = 1,882.63 × 433.48
  4. Step 4: Simplify right side
    1,255.49x = 816,078.29
  5. Step 5: Solve for x
    x = 816,078.29/1,255.49
  6. Step 6: Final answer
    x = 650.01

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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.