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Finding the Fourth Proportional to 893.41, 1,233.51 and 557.44

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Solution

The fourth proportional to 893.41, 1,233.51 and 557.44 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.41 : 1,233.51 = 557.44 : x
  2. Step 2: Convert to fraction form
    893.41/1,233.51 = 557.44/x
  3. Step 3: Cross multiply
    893.41x = 1,233.51 × 557.44
  4. Step 4: Simplify right side
    893.41x = 687,607.81
  5. Step 5: Solve for x
    x = 687,607.81/893.41
  6. Step 6: Final answer
    x = 769.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.