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Finding the Fourth Proportional to 730.14, 1,094.73 and 319.06

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Solution

The fourth proportional to 730.14, 1,094.73 and 319.06 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.14 : 1,094.73 = 319.06 : x
  2. Step 2: Convert to fraction form
    730.14/1,094.73 = 319.06/x
  3. Step 3: Cross multiply
    730.14x = 1,094.73 × 319.06
  4. Step 4: Simplify right side
    730.14x = 349,284.55
  5. Step 5: Solve for x
    x = 349,284.55/730.14
  6. Step 6: Final answer
    x = 478.38

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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.