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Finding the Fourth Proportional to 889.11, 1,333.06 and 596.70

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Solution

The fourth proportional to 889.11, 1,333.06 and 596.70 is: 894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.11 : 1,333.06 = 596.70 : x
  2. Step 2: Convert to fraction form
    889.11/1,333.06 = 596.70/x
  3. Step 3: Cross multiply
    889.11x = 1,333.06 × 596.70
  4. Step 4: Simplify right side
    889.11x = 795,435.41
  5. Step 5: Solve for x
    x = 795,435.41/889.11
  6. Step 6: Final answer
    x = 894.64

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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.