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Finding the Fourth Proportional to 934.22, 1,289.82 and 834.46

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Solution

The fourth proportional to 934.22, 1,289.82 and 834.46 is: 1,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.22 : 1,289.82 = 834.46 : x
  2. Step 2: Convert to fraction form
    934.22/1,289.82 = 834.46/x
  3. Step 3: Cross multiply
    934.22x = 1,289.82 × 834.46
  4. Step 4: Simplify right side
    934.22x = 1,076,303.20
  5. Step 5: Solve for x
    x = 1,076,303.20/934.22
  6. Step 6: Final answer
    x = 1,152.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.