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Finding the Fourth Proportional to 1,094.73, 1,642.07 and 364.83

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Solution

The fourth proportional to 1,094.73, 1,642.07 and 364.83 is: 547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.73 : 1,642.07 = 364.83 : x
  2. Step 2: Convert to fraction form
    1,094.73/1,642.07 = 364.83/x
  3. Step 3: Cross multiply
    1,094.73x = 1,642.07 × 364.83
  4. Step 4: Simplify right side
    1,094.73x = 599,074.57
  5. Step 5: Solve for x
    x = 599,074.57/1,094.73
  6. Step 6: Final answer
    x = 547.24

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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.