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Finding the Fourth Proportional to 1,488.30, 2,232.44 and 448.26

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Solution

The fourth proportional to 1,488.30, 2,232.44 and 448.26 is: 672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.30 : 2,232.44 = 448.26 : x
  2. Step 2: Convert to fraction form
    1,488.30/2,232.44 = 448.26/x
  3. Step 3: Cross multiply
    1,488.30x = 2,232.44 × 448.26
  4. Step 4: Simplify right side
    1,488.30x = 1,000,720.26
  5. Step 5: Solve for x
    x = 1,000,720.26/1,488.30
  6. Step 6: Final answer
    x = 672.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.