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Finding the Fourth Proportional to 1,448.42, 2,172.27 and 475.10

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Solution

The fourth proportional to 1,448.42, 2,172.27 and 475.10 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.42 : 2,172.27 = 475.10 : x
  2. Step 2: Convert to fraction form
    1,448.42/2,172.27 = 475.10/x
  3. Step 3: Cross multiply
    1,448.42x = 2,172.27 × 475.10
  4. Step 4: Simplify right side
    1,448.42x = 1,032,045.48
  5. Step 5: Solve for x
    x = 1,032,045.48/1,448.42
  6. Step 6: Final answer
    x = 712.53

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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.