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Finding the Fourth Proportional to 1,093.94, 1,641.07 and 400.45

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Solution

The fourth proportional to 1,093.94, 1,641.07 and 400.45 is: 600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.94 : 1,641.07 = 400.45 : x
  2. Step 2: Convert to fraction form
    1,093.94/1,641.07 = 400.45/x
  3. Step 3: Cross multiply
    1,093.94x = 1,641.07 × 400.45
  4. Step 4: Simplify right side
    1,093.94x = 657,166.48
  5. Step 5: Solve for x
    x = 657,166.48/1,093.94
  6. Step 6: Final answer
    x = 600.73

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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.