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Finding the Fourth Proportional to 1,313.88, 1,971.08 and 448.80

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Solution

The fourth proportional to 1,313.88, 1,971.08 and 448.80 is: 673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.88 : 1,971.08 = 448.80 : x
  2. Step 2: Convert to fraction form
    1,313.88/1,971.08 = 448.80/x
  3. Step 3: Cross multiply
    1,313.88x = 1,971.08 × 448.80
  4. Step 4: Simplify right side
    1,313.88x = 884,620.70
  5. Step 5: Solve for x
    x = 884,620.70/1,313.88
  6. Step 6: Final answer
    x = 673.29

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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.