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Finding the Fourth Proportional to 730.56, 1,094.40 and 609.12

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Solution

The fourth proportional to 730.56, 1,094.40 and 609.12 is: 912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,094.40 = 609.12 : x
  2. Step 2: Convert to fraction form
    730.56/1,094.40 = 609.12/x
  3. Step 3: Cross multiply
    730.56x = 1,094.40 × 609.12
  4. Step 4: Simplify right side
    730.56x = 666,620.93
  5. Step 5: Solve for x
    x = 666,620.93/730.56
  6. Step 6: Final answer
    x = 912.48

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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.