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Finding the Fourth Proportional to 744.87, 1,116.23 and 419.54

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Solution

The fourth proportional to 744.87, 1,116.23 and 419.54 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.87 : 1,116.23 = 419.54 : x
  2. Step 2: Convert to fraction form
    744.87/1,116.23 = 419.54/x
  3. Step 3: Cross multiply
    744.87x = 1,116.23 × 419.54
  4. Step 4: Simplify right side
    744.87x = 468,303.83
  5. Step 5: Solve for x
    x = 468,303.83/744.87
  6. Step 6: Final answer
    x = 628.71

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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.