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Finding the Fourth Proportional to 1,091.83, 1,506.75 and 594.43

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Solution

The fourth proportional to 1,091.83, 1,506.75 and 594.43 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.83 : 1,506.75 = 594.43 : x
  2. Step 2: Convert to fraction form
    1,091.83/1,506.75 = 594.43/x
  3. Step 3: Cross multiply
    1,091.83x = 1,506.75 × 594.43
  4. Step 4: Simplify right side
    1,091.83x = 895,657.40
  5. Step 5: Solve for x
    x = 895,657.40/1,091.83
  6. Step 6: Final answer
    x = 820.33

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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.