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Finding the Fourth Proportional to 883.44, 1,325.80 and 396.63

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Solution

The fourth proportional to 883.44, 1,325.80 and 396.63 is: 595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.44 : 1,325.80 = 396.63 : x
  2. Step 2: Convert to fraction form
    883.44/1,325.80 = 396.63/x
  3. Step 3: Cross multiply
    883.44x = 1,325.80 × 396.63
  4. Step 4: Simplify right side
    883.44x = 525,852.05
  5. Step 5: Solve for x
    x = 525,852.05/883.44
  6. Step 6: Final answer
    x = 595.23

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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.