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Finding the Fourth Proportional to 934.62, 1,288.89 and 834.90

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Solution

The fourth proportional to 934.62, 1,288.89 and 834.90 is: 1,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.62 : 1,288.89 = 834.90 : x
  2. Step 2: Convert to fraction form
    934.62/1,288.89 = 834.90/x
  3. Step 3: Cross multiply
    934.62x = 1,288.89 × 834.90
  4. Step 4: Simplify right side
    934.62x = 1,076,094.26
  5. Step 5: Solve for x
    x = 1,076,094.26/934.62
  6. Step 6: Final answer
    x = 1,151.37

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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.