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Finding the Fourth Proportional to 894.16, 1,234.08 and 521.14

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Solution

The fourth proportional to 894.16, 1,234.08 and 521.14 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,234.08 = 521.14 : x
  2. Step 2: Convert to fraction form
    894.16/1,234.08 = 521.14/x
  3. Step 3: Cross multiply
    894.16x = 1,234.08 × 521.14
  4. Step 4: Simplify right side
    894.16x = 643,128.45
  5. Step 5: Solve for x
    x = 643,128.45/894.16
  6. Step 6: Final answer
    x = 719.25

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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.