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Finding the Fourth Proportional to 730.27, 1,095.67 and 456.05

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Solution

The fourth proportional to 730.27, 1,095.67 and 456.05 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.27 : 1,095.67 = 456.05 : x
  2. Step 2: Convert to fraction form
    730.27/1,095.67 = 456.05/x
  3. Step 3: Cross multiply
    730.27x = 1,095.67 × 456.05
  4. Step 4: Simplify right side
    730.27x = 499,676.42
  5. Step 5: Solve for x
    x = 499,676.42/730.27
  6. Step 6: Final answer
    x = 684.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.