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Finding the Fourth Proportional to 730.10, 1,094.19 and 297.02

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Solution

The fourth proportional to 730.10, 1,094.19 and 297.02 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,094.19 = 297.02 : x
  2. Step 2: Convert to fraction form
    730.10/1,094.19 = 297.02/x
  3. Step 3: Cross multiply
    730.10x = 1,094.19 × 297.02
  4. Step 4: Simplify right side
    730.10x = 324,990.84
  5. Step 5: Solve for x
    x = 324,990.84/730.10
  6. Step 6: Final answer
    x = 445.14

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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.