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Finding the Fourth Proportional to 1,148.39, 1,722.68 and 326.67

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Solution

The fourth proportional to 1,148.39, 1,722.68 and 326.67 is: 490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.39 : 1,722.68 = 326.67 : x
  2. Step 2: Convert to fraction form
    1,148.39/1,722.68 = 326.67/x
  3. Step 3: Cross multiply
    1,148.39x = 1,722.68 × 326.67
  4. Step 4: Simplify right side
    1,148.39x = 562,747.88
  5. Step 5: Solve for x
    x = 562,747.88/1,148.39
  6. Step 6: Final answer
    x = 490.03

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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.