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Finding the Fourth Proportional to 1,316.25, 1,974.38 and 450.57

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Solution

The fourth proportional to 1,316.25, 1,974.38 and 450.57 is: 675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.25 : 1,974.38 = 450.57 : x
  2. Step 2: Convert to fraction form
    1,316.25/1,974.38 = 450.57/x
  3. Step 3: Cross multiply
    1,316.25x = 1,974.38 × 450.57
  4. Step 4: Simplify right side
    1,316.25x = 889,594.14
  5. Step 5: Solve for x
    x = 889,594.14/1,316.25
  6. Step 6: Final answer
    x = 675.86

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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.