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Finding the Fourth Proportional to 894.56, 1,234.27 and 521.32

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Solution

The fourth proportional to 894.56, 1,234.27 and 521.32 is: 719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.56 : 1,234.27 = 521.32 : x
  2. Step 2: Convert to fraction form
    894.56/1,234.27 = 521.32/x
  3. Step 3: Cross multiply
    894.56x = 1,234.27 × 521.32
  4. Step 4: Simplify right side
    894.56x = 643,449.64
  5. Step 5: Solve for x
    x = 643,449.64/894.56
  6. Step 6: Final answer
    x = 719.29

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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.