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Finding the Fourth Proportional to 893.09, 1,232.13 and 683.05

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Solution

The fourth proportional to 893.09, 1,232.13 and 683.05 is: 942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.09 : 1,232.13 = 683.05 : x
  2. Step 2: Convert to fraction form
    893.09/1,232.13 = 683.05/x
  3. Step 3: Cross multiply
    893.09x = 1,232.13 × 683.05
  4. Step 4: Simplify right side
    893.09x = 841,603.32
  5. Step 5: Solve for x
    x = 841,603.32/893.09
  6. Step 6: Final answer
    x = 942.35

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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.