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Finding the Fourth Proportional to 730.56, 1,095.36 and 455.52

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Solution

The fourth proportional to 730.56, 1,095.36 and 455.52 is: 682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,095.36 = 455.52 : x
  2. Step 2: Convert to fraction form
    730.56/1,095.36 = 455.52/x
  3. Step 3: Cross multiply
    730.56x = 1,095.36 × 455.52
  4. Step 4: Simplify right side
    730.56x = 498,958.39
  5. Step 5: Solve for x
    x = 498,958.39/730.56
  6. Step 6: Final answer
    x = 682.98

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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.