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Finding the Fourth Proportional to 850.04, 1,272.54 and 519.99

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Solution

The fourth proportional to 850.04, 1,272.54 and 519.99 is: 778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.04 : 1,272.54 = 519.99 : x
  2. Step 2: Convert to fraction form
    850.04/1,272.54 = 519.99/x
  3. Step 3: Cross multiply
    850.04x = 1,272.54 × 519.99
  4. Step 4: Simplify right side
    850.04x = 661,708.07
  5. Step 5: Solve for x
    x = 661,708.07/850.04
  6. Step 6: Final answer
    x = 778.44

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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.