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Finding the Fourth Proportional to 743.58, 1,115.91 and 419.58

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Solution

The fourth proportional to 743.58, 1,115.91 and 419.58 is: 629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.58 : 1,115.91 = 419.58 : x
  2. Step 2: Convert to fraction form
    743.58/1,115.91 = 419.58/x
  3. Step 3: Cross multiply
    743.58x = 1,115.91 × 419.58
  4. Step 4: Simplify right side
    743.58x = 468,213.52
  5. Step 5: Solve for x
    x = 468,213.52/743.58
  6. Step 6: Final answer
    x = 629.67

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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.