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Finding the Fourth Proportional to 1,315.82, 1,974.03 and 450.13

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Solution

The fourth proportional to 1,315.82, 1,974.03 and 450.13 is: 675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.82 : 1,974.03 = 450.13 : x
  2. Step 2: Convert to fraction form
    1,315.82/1,974.03 = 450.13/x
  3. Step 3: Cross multiply
    1,315.82x = 1,974.03 × 450.13
  4. Step 4: Simplify right side
    1,315.82x = 888,570.12
  5. Step 5: Solve for x
    x = 888,570.12/1,315.82
  6. Step 6: Final answer
    x = 675.30

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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.