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Finding the Fourth Proportional to 889.62, 1,334.88 and 312.54

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Solution

The fourth proportional to 889.62, 1,334.88 and 312.54 is: 468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.62 : 1,334.88 = 312.54 : x
  2. Step 2: Convert to fraction form
    889.62/1,334.88 = 312.54/x
  3. Step 3: Cross multiply
    889.62x = 1,334.88 × 312.54
  4. Step 4: Simplify right side
    889.62x = 417,203.40
  5. Step 5: Solve for x
    x = 417,203.40/889.62
  6. Step 6: Final answer
    x = 468.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.