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Finding the Fourth Proportional to 920.14, 1,382.94 and 852.24

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Solution

The fourth proportional to 920.14, 1,382.94 and 852.24 is: 1,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.14 : 1,382.94 = 852.24 : x
  2. Step 2: Convert to fraction form
    920.14/1,382.94 = 852.24/x
  3. Step 3: Cross multiply
    920.14x = 1,382.94 × 852.24
  4. Step 4: Simplify right side
    920.14x = 1,178,596.79
  5. Step 5: Solve for x
    x = 1,178,596.79/920.14
  6. Step 6: Final answer
    x = 1,280.89

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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.