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Finding the Fourth Proportional to 1,093.49, 1,641.08 and 400.82

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Solution

The fourth proportional to 1,093.49, 1,641.08 and 400.82 is: 601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.49 : 1,641.08 = 400.82 : x
  2. Step 2: Convert to fraction form
    1,093.49/1,641.08 = 400.82/x
  3. Step 3: Cross multiply
    1,093.49x = 1,641.08 × 400.82
  4. Step 4: Simplify right side
    1,093.49x = 657,767.48
  5. Step 5: Solve for x
    x = 657,767.48/1,093.49
  6. Step 6: Final answer
    x = 601.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.