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Finding the Fourth Proportional to 934.56, 1,282.68 and 856.80

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Solution

The fourth proportional to 934.56, 1,282.68 and 856.80 is: 1,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.56 : 1,282.68 = 856.80 : x
  2. Step 2: Convert to fraction form
    934.56/1,282.68 = 856.80/x
  3. Step 3: Cross multiply
    934.56x = 1,282.68 × 856.80
  4. Step 4: Simplify right side
    934.56x = 1,099,000.22
  5. Step 5: Solve for x
    x = 1,099,000.22/934.56
  6. Step 6: Final answer
    x = 1,175.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.