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Finding the Fourth Proportional to 884.42, 1,325.82 and 473.84

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Solution

The fourth proportional to 884.42, 1,325.82 and 473.84 is: 710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.42 : 1,325.82 = 473.84 : x
  2. Step 2: Convert to fraction form
    884.42/1,325.82 = 473.84/x
  3. Step 3: Cross multiply
    884.42x = 1,325.82 × 473.84
  4. Step 4: Simplify right side
    884.42x = 628,226.55
  5. Step 5: Solve for x
    x = 628,226.55/884.42
  6. Step 6: Final answer
    x = 710.33

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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.