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Finding the Fourth Proportional to 742.58, 1,113.09 and 280.04

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Solution

The fourth proportional to 742.58, 1,113.09 and 280.04 is: 419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.58 : 1,113.09 = 280.04 : x
  2. Step 2: Convert to fraction form
    742.58/1,113.09 = 280.04/x
  3. Step 3: Cross multiply
    742.58x = 1,113.09 × 280.04
  4. Step 4: Simplify right side
    742.58x = 311,704.16
  5. Step 5: Solve for x
    x = 311,704.16/742.58
  6. Step 6: Final answer
    x = 419.76

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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.