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Finding the Fourth Proportional to 730.98, 1,094.85 and 405.63

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Solution

The fourth proportional to 730.98, 1,094.85 and 405.63 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,094.85 = 405.63 : x
  2. Step 2: Convert to fraction form
    730.98/1,094.85 = 405.63/x
  3. Step 3: Cross multiply
    730.98x = 1,094.85 × 405.63
  4. Step 4: Simplify right side
    730.98x = 444,104.01
  5. Step 5: Solve for x
    x = 444,104.01/730.98
  6. Step 6: Final answer
    x = 607.55

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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.