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Finding the Fourth Proportional to 730.47, 1,094.75 and 297.39

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Solution

The fourth proportional to 730.47, 1,094.75 and 297.39 is: 445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.47 : 1,094.75 = 297.39 : x
  2. Step 2: Convert to fraction form
    730.47/1,094.75 = 297.39/x
  3. Step 3: Cross multiply
    730.47x = 1,094.75 × 297.39
  4. Step 4: Simplify right side
    730.47x = 325,566.22
  5. Step 5: Solve for x
    x = 325,566.22/730.47
  6. Step 6: Final answer
    x = 445.69

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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.