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Finding the Fourth Proportional to 893.18, 1,232.01 and 644.10

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Solution

The fourth proportional to 893.18, 1,232.01 and 644.10 is: 888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.18 : 1,232.01 = 644.10 : x
  2. Step 2: Convert to fraction form
    893.18/1,232.01 = 644.10/x
  3. Step 3: Cross multiply
    893.18x = 1,232.01 × 644.10
  4. Step 4: Simplify right side
    893.18x = 793,539.95
  5. Step 5: Solve for x
    x = 793,539.95/893.18
  6. Step 6: Final answer
    x = 888.45

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