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Finding the Fourth Proportional to 889.41, 1,334.42 and 803.15

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Solution

The fourth proportional to 889.41, 1,334.42 and 803.15 is: 1,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.41 : 1,334.42 = 803.15 : x
  2. Step 2: Convert to fraction form
    889.41/1,334.42 = 803.15/x
  3. Step 3: Cross multiply
    889.41x = 1,334.42 × 803.15
  4. Step 4: Simplify right side
    889.41x = 1,071,739.42
  5. Step 5: Solve for x
    x = 1,071,739.42/889.41
  6. Step 6: Final answer
    x = 1,205.00

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Why These Related Problems?

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