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Finding the Fourth Proportional to 1,478.44, 2,219.01 and 748.52

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Solution

The fourth proportional to 1,478.44, 2,219.01 and 748.52 is: 1,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.44 : 2,219.01 = 748.52 : x
  2. Step 2: Convert to fraction form
    1,478.44/2,219.01 = 748.52/x
  3. Step 3: Cross multiply
    1,478.44x = 2,219.01 × 748.52
  4. Step 4: Simplify right side
    1,478.44x = 1,660,973.37
  5. Step 5: Solve for x
    x = 1,660,973.37/1,478.44
  6. Step 6: Final answer
    x = 1,123.46

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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.