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Finding the Fourth Proportional to 853.45, 1,280.18 and 564.82

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Solution

The fourth proportional to 853.45, 1,280.18 and 564.82 is: 847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.45 : 1,280.18 = 564.82 : x
  2. Step 2: Convert to fraction form
    853.45/1,280.18 = 564.82/x
  3. Step 3: Cross multiply
    853.45x = 1,280.18 × 564.82
  4. Step 4: Simplify right side
    853.45x = 723,074.47
  5. Step 5: Solve for x
    x = 723,074.47/853.45
  6. Step 6: Final answer
    x = 847.23

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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.