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Finding the Fourth Proportional to 730.82, 1,095.09 and 456.08

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Solution

The fourth proportional to 730.82, 1,095.09 and 456.08 is: 683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.82 : 1,095.09 = 456.08 : x
  2. Step 2: Convert to fraction form
    730.82/1,095.09 = 456.08/x
  3. Step 3: Cross multiply
    730.82x = 1,095.09 × 456.08
  4. Step 4: Simplify right side
    730.82x = 499,451.47
  5. Step 5: Solve for x
    x = 499,451.47/730.82
  6. Step 6: Final answer
    x = 683.41

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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.