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Finding the Fourth Proportional to 893.19, 1,233.14 and 583.23

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Solution

The fourth proportional to 893.19, 1,233.14 and 583.23 is: 805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.19 : 1,233.14 = 583.23 : x
  2. Step 2: Convert to fraction form
    893.19/1,233.14 = 583.23/x
  3. Step 3: Cross multiply
    893.19x = 1,233.14 × 583.23
  4. Step 4: Simplify right side
    893.19x = 719,204.24
  5. Step 5: Solve for x
    x = 719,204.24/893.19
  6. Step 6: Final answer
    x = 805.21

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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.