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Finding the Fourth Proportional to 730.44, 1,007.42 and 450.18

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Solution

The fourth proportional to 730.44, 1,007.42 and 450.18 is: 620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.44 : 1,007.42 = 450.18 : x
  2. Step 2: Convert to fraction form
    730.44/1,007.42 = 450.18/x
  3. Step 3: Cross multiply
    730.44x = 1,007.42 × 450.18
  4. Step 4: Simplify right side
    730.44x = 453,520.34
  5. Step 5: Solve for x
    x = 453,520.34/730.44
  6. Step 6: Final answer
    x = 620.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.