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Finding the Fourth Proportional to 889.51, 1,334.46 and 402.64

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Solution

The fourth proportional to 889.51, 1,334.46 and 402.64 is: 604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.51 : 1,334.46 = 402.64 : x
  2. Step 2: Convert to fraction form
    889.51/1,334.46 = 402.64/x
  3. Step 3: Cross multiply
    889.51x = 1,334.46 × 402.64
  4. Step 4: Simplify right side
    889.51x = 537,306.97
  5. Step 5: Solve for x
    x = 537,306.97/889.51
  6. Step 6: Final answer
    x = 604.05

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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.