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Finding the Fourth Proportional to 934.24, 1,400.46 and 854.05

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Solution

The fourth proportional to 934.24, 1,400.46 and 854.05 is: 1,280.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.24 : 1,400.46 = 854.05 : x
  2. Step 2: Convert to fraction form
    934.24/1,400.46 = 854.05/x
  3. Step 3: Cross multiply
    934.24x = 1,400.46 × 854.05
  4. Step 4: Simplify right side
    934.24x = 1,196,062.86
  5. Step 5: Solve for x
    x = 1,196,062.86/934.24
  6. Step 6: Final answer
    x = 1,280.25

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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.