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Finding the Fourth Proportional to 758.04, 1,134.28 and 450.04

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Solution

The fourth proportional to 758.04, 1,134.28 and 450.04 is: 673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.04 : 1,134.28 = 450.04 : x
  2. Step 2: Convert to fraction form
    758.04/1,134.28 = 450.04/x
  3. Step 3: Cross multiply
    758.04x = 1,134.28 × 450.04
  4. Step 4: Simplify right side
    758.04x = 510,471.37
  5. Step 5: Solve for x
    x = 510,471.37/758.04
  6. Step 6: Final answer
    x = 673.41

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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.