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Finding the Fourth Proportional to 893.64, 1,338.44 and 431.74

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Solution

The fourth proportional to 893.64, 1,338.44 and 431.74 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.64 : 1,338.44 = 431.74 : x
  2. Step 2: Convert to fraction form
    893.64/1,338.44 = 431.74/x
  3. Step 3: Cross multiply
    893.64x = 1,338.44 × 431.74
  4. Step 4: Simplify right side
    893.64x = 577,858.09
  5. Step 5: Solve for x
    x = 577,858.09/893.64
  6. Step 6: Final answer
    x = 646.63

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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.