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Finding the Fourth Proportional to 730.46, 1,094.37 and 456.42

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Solution

The fourth proportional to 730.46, 1,094.37 and 456.42 is: 683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.46 : 1,094.37 = 456.42 : x
  2. Step 2: Convert to fraction form
    730.46/1,094.37 = 456.42/x
  3. Step 3: Cross multiply
    730.46x = 1,094.37 × 456.42
  4. Step 4: Simplify right side
    730.46x = 499,492.36
  5. Step 5: Solve for x
    x = 499,492.36/730.46
  6. Step 6: Final answer
    x = 683.81

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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.