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Finding the Fourth Proportional to 730.74, 1,094.43 and 467.18

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Solution

The fourth proportional to 730.74, 1,094.43 and 467.18 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,094.43 = 467.18 : x
  2. Step 2: Convert to fraction form
    730.74/1,094.43 = 467.18/x
  3. Step 3: Cross multiply
    730.74x = 1,094.43 × 467.18
  4. Step 4: Simplify right side
    730.74x = 511,290.34
  5. Step 5: Solve for x
    x = 511,290.34/730.74
  6. Step 6: Final answer
    x = 699.69

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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.