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Finding the Fourth Proportional to 730.16, 1,093.80 and 442.16

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Solution

The fourth proportional to 730.16, 1,093.80 and 442.16 is: 662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.16 : 1,093.80 = 442.16 : x
  2. Step 2: Convert to fraction form
    730.16/1,093.80 = 442.16/x
  3. Step 3: Cross multiply
    730.16x = 1,093.80 × 442.16
  4. Step 4: Simplify right side
    730.16x = 483,634.61
  5. Step 5: Solve for x
    x = 483,634.61/730.16
  6. Step 6: Final answer
    x = 662.37

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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.