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Finding the Fourth Proportional to 894.21, 1,233.96 and 521.19

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Solution

The fourth proportional to 894.21, 1,233.96 and 521.19 is: 719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.21 : 1,233.96 = 521.19 : x
  2. Step 2: Convert to fraction form
    894.21/1,233.96 = 521.19/x
  3. Step 3: Cross multiply
    894.21x = 1,233.96 × 521.19
  4. Step 4: Simplify right side
    894.21x = 643,127.61
  5. Step 5: Solve for x
    x = 643,127.61/894.21
  6. Step 6: Final answer
    x = 719.21

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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.