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Finding the Fourth Proportional to 1,091.43, 1,506.04 and 619.29

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Solution

The fourth proportional to 1,091.43, 1,506.04 and 619.29 is: 854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.43 : 1,506.04 = 619.29 : x
  2. Step 2: Convert to fraction form
    1,091.43/1,506.04 = 619.29/x
  3. Step 3: Cross multiply
    1,091.43x = 1,506.04 × 619.29
  4. Step 4: Simplify right side
    1,091.43x = 932,673.96
  5. Step 5: Solve for x
    x = 932,673.96/1,091.43
  6. Step 6: Final answer
    x = 854.54

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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.