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Finding the Fourth Proportional to 1,314.23, 1,971.54 and 448.34

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Solution

The fourth proportional to 1,314.23, 1,971.54 and 448.34 is: 672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.23 : 1,971.54 = 448.34 : x
  2. Step 2: Convert to fraction form
    1,314.23/1,971.54 = 448.34/x
  3. Step 3: Cross multiply
    1,314.23x = 1,971.54 × 448.34
  4. Step 4: Simplify right side
    1,314.23x = 883,910.39
  5. Step 5: Solve for x
    x = 883,910.39/1,314.23
  6. Step 6: Final answer
    x = 672.57

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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.