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Finding the Fourth Proportional to 893.99, 1,233.06 and 598.74

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Solution

The fourth proportional to 893.99, 1,233.06 and 598.74 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.99 : 1,233.06 = 598.74 : x
  2. Step 2: Convert to fraction form
    893.99/1,233.06 = 598.74/x
  3. Step 3: Cross multiply
    893.99x = 1,233.06 × 598.74
  4. Step 4: Simplify right side
    893.99x = 738,282.34
  5. Step 5: Solve for x
    x = 738,282.34/893.99
  6. Step 6: Final answer
    x = 825.83

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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.