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Finding the Fourth Proportional to 922.06, 1,382.19 and 841.06

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Solution

The fourth proportional to 922.06, 1,382.19 and 841.06 is: 1,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.06 : 1,382.19 = 841.06 : x
  2. Step 2: Convert to fraction form
    922.06/1,382.19 = 841.06/x
  3. Step 3: Cross multiply
    922.06x = 1,382.19 × 841.06
  4. Step 4: Simplify right side
    922.06x = 1,162,504.72
  5. Step 5: Solve for x
    x = 1,162,504.72/922.06
  6. Step 6: Final answer
    x = 1,260.77

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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.