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Finding the Fourth Proportional to 743.76, 1,115.64 and 419.22

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Solution

The fourth proportional to 743.76, 1,115.64 and 419.22 is: 628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.76 : 1,115.64 = 419.22 : x
  2. Step 2: Convert to fraction form
    743.76/1,115.64 = 419.22/x
  3. Step 3: Cross multiply
    743.76x = 1,115.64 × 419.22
  4. Step 4: Simplify right side
    743.76x = 467,698.60
  5. Step 5: Solve for x
    x = 467,698.60/743.76
  6. Step 6: Final answer
    x = 628.83

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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.