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Finding the Fourth Proportional to 1,544.48, 2,316.87 and 448.55

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Solution

The fourth proportional to 1,544.48, 2,316.87 and 448.55 is: 672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.48 : 2,316.87 = 448.55 : x
  2. Step 2: Convert to fraction form
    1,544.48/2,316.87 = 448.55/x
  3. Step 3: Cross multiply
    1,544.48x = 2,316.87 × 448.55
  4. Step 4: Simplify right side
    1,544.48x = 1,039,229.14
  5. Step 5: Solve for x
    x = 1,039,229.14/1,544.48
  6. Step 6: Final answer
    x = 672.87

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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.