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Finding the Fourth Proportional to 889.12, 1,334.22 and 774.46

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Solution

The fourth proportional to 889.12, 1,334.22 and 774.46 is: 1,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.12 : 1,334.22 = 774.46 : x
  2. Step 2: Convert to fraction form
    889.12/1,334.22 = 774.46/x
  3. Step 3: Cross multiply
    889.12x = 1,334.22 × 774.46
  4. Step 4: Simplify right side
    889.12x = 1,033,300.02
  5. Step 5: Solve for x
    x = 1,033,300.02/889.12
  6. Step 6: Final answer
    x = 1,162.16

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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.