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Finding the Fourth Proportional to 1,109.94, 1,531.73 and 612.62

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Solution

The fourth proportional to 1,109.94, 1,531.73 and 612.62 is: 845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.94 : 1,531.73 = 612.62 : x
  2. Step 2: Convert to fraction form
    1,109.94/1,531.73 = 612.62/x
  3. Step 3: Cross multiply
    1,109.94x = 1,531.73 × 612.62
  4. Step 4: Simplify right side
    1,109.94x = 938,363.74
  5. Step 5: Solve for x
    x = 938,363.74/1,109.94
  6. Step 6: Final answer
    x = 845.41

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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.