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Finding the Fourth Proportional to 849.85, 1,275.10 and 578.50

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Solution

The fourth proportional to 849.85, 1,275.10 and 578.50 is: 867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.85 : 1,275.10 = 578.50 : x
  2. Step 2: Convert to fraction form
    849.85/1,275.10 = 578.50/x
  3. Step 3: Cross multiply
    849.85x = 1,275.10 × 578.50
  4. Step 4: Simplify right side
    849.85x = 737,645.50
  5. Step 5: Solve for x
    x = 737,645.50/849.85
  6. Step 6: Final answer
    x = 867.97

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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.