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Finding the Fourth Proportional to 1,093.90, 1,641.03 and 545.98

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Solution

The fourth proportional to 1,093.90, 1,641.03 and 545.98 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.90 : 1,641.03 = 545.98 : x
  2. Step 2: Convert to fraction form
    1,093.90/1,641.03 = 545.98/x
  3. Step 3: Cross multiply
    1,093.90x = 1,641.03 × 545.98
  4. Step 4: Simplify right side
    1,093.90x = 895,969.56
  5. Step 5: Solve for x
    x = 895,969.56/1,093.90
  6. Step 6: Final answer
    x = 819.06

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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.