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Finding the Fourth Proportional to 910.94, 1,365.09 and 519.74

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Solution

The fourth proportional to 910.94, 1,365.09 and 519.74 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.94 : 1,365.09 = 519.74 : x
  2. Step 2: Convert to fraction form
    910.94/1,365.09 = 519.74/x
  3. Step 3: Cross multiply
    910.94x = 1,365.09 × 519.74
  4. Step 4: Simplify right side
    910.94x = 709,485.05
  5. Step 5: Solve for x
    x = 709,485.05/910.94
  6. Step 6: Final answer
    x = 778.85

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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.