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Finding the Fourth Proportional to 733.04, 1,099.55 and 300.19

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Solution

The fourth proportional to 733.04, 1,099.55 and 300.19 is: 450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.04 : 1,099.55 = 300.19 : x
  2. Step 2: Convert to fraction form
    733.04/1,099.55 = 300.19/x
  3. Step 3: Cross multiply
    733.04x = 1,099.55 × 300.19
  4. Step 4: Simplify right side
    733.04x = 330,069.66
  5. Step 5: Solve for x
    x = 330,069.66/733.04
  6. Step 6: Final answer
    x = 450.28

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1.5x scale

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.