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Finding the Fourth Proportional to 730.59, 1,095.63 and 396.97

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Solution

The fourth proportional to 730.59, 1,095.63 and 396.97 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.59 : 1,095.63 = 396.97 : x
  2. Step 2: Convert to fraction form
    730.59/1,095.63 = 396.97/x
  3. Step 3: Cross multiply
    730.59x = 1,095.63 × 396.97
  4. Step 4: Simplify right side
    730.59x = 434,932.24
  5. Step 5: Solve for x
    x = 434,932.24/730.59
  6. Step 6: Final answer
    x = 595.32

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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.