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Finding the Fourth Proportional to 1,093, 1,508.94 and 783.04

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Solution

The fourth proportional to 1,093, 1,508.94 and 783.04 is: 1,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093 : 1,508.94 = 783.04 : x
  2. Step 2: Convert to fraction form
    1,093/1,508.94 = 783.04/x
  3. Step 3: Cross multiply
    1,093x = 1,508.94 × 783.04
  4. Step 4: Simplify right side
    1,093x = 1,181,560.38
  5. Step 5: Solve for x
    x = 1,181,560.38/1,093
  6. Step 6: Final answer
    x = 1,081.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.