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Finding the Fourth Proportional to 1,478.49, 2,217.46 and 491.32

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Solution

The fourth proportional to 1,478.49, 2,217.46 and 491.32 is: 736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.49 : 2,217.46 = 491.32 : x
  2. Step 2: Convert to fraction form
    1,478.49/2,217.46 = 491.32/x
  3. Step 3: Cross multiply
    1,478.49x = 2,217.46 × 491.32
  4. Step 4: Simplify right side
    1,478.49x = 1,089,481.15
  5. Step 5: Solve for x
    x = 1,089,481.15/1,478.49
  6. Step 6: Final answer
    x = 736.89

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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.