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Finding the Fourth Proportional to 955.12, 1,434.29 and 834.43

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Solution

The fourth proportional to 955.12, 1,434.29 and 834.43 is: 1,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.12 : 1,434.29 = 834.43 : x
  2. Step 2: Convert to fraction form
    955.12/1,434.29 = 834.43/x
  3. Step 3: Cross multiply
    955.12x = 1,434.29 × 834.43
  4. Step 4: Simplify right side
    955.12x = 1,196,810.43
  5. Step 5: Solve for x
    x = 1,196,810.43/955.12
  6. Step 6: Final answer
    x = 1,253.05

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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.