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Finding the Fourth Proportional to 852.80, 1,275.71 and 605.99

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Solution

The fourth proportional to 852.80, 1,275.71 and 605.99 is: 906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.80 : 1,275.71 = 605.99 : x
  2. Step 2: Convert to fraction form
    852.80/1,275.71 = 605.99/x
  3. Step 3: Cross multiply
    852.80x = 1,275.71 × 605.99
  4. Step 4: Simplify right side
    852.80x = 773,058.09
  5. Step 5: Solve for x
    x = 773,058.09/852.80
  6. Step 6: Final answer
    x = 906.50

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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.