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Finding the Fourth Proportional to 862.85, 1,295.08 and 574.49

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Solution

The fourth proportional to 862.85, 1,295.08 and 574.49 is: 862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.85 : 1,295.08 = 574.49 : x
  2. Step 2: Convert to fraction form
    862.85/1,295.08 = 574.49/x
  3. Step 3: Cross multiply
    862.85x = 1,295.08 × 574.49
  4. Step 4: Simplify right side
    862.85x = 744,010.51
  5. Step 5: Solve for x
    x = 744,010.51/862.85
  6. Step 6: Final answer
    x = 862.27

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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.