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Finding the Fourth Proportional to 889.40, 1,232.75 and 838.14

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Solution

The fourth proportional to 889.40, 1,232.75 and 838.14 is: 1,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.40 : 1,232.75 = 838.14 : x
  2. Step 2: Convert to fraction form
    889.40/1,232.75 = 838.14/x
  3. Step 3: Cross multiply
    889.40x = 1,232.75 × 838.14
  4. Step 4: Simplify right side
    889.40x = 1,033,217.09
  5. Step 5: Solve for x
    x = 1,033,217.09/889.40
  6. Step 6: Final answer
    x = 1,161.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.