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Finding the Fourth Proportional to 1,316.34, 1,974.42 and 450.54

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Solution

The fourth proportional to 1,316.34, 1,974.42 and 450.54 is: 675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.34 : 1,974.42 = 450.54 : x
  2. Step 2: Convert to fraction form
    1,316.34/1,974.42 = 450.54/x
  3. Step 3: Cross multiply
    1,316.34x = 1,974.42 × 450.54
  4. Step 4: Simplify right side
    1,316.34x = 889,555.19
  5. Step 5: Solve for x
    x = 889,555.19/1,316.34
  6. Step 6: Final answer
    x = 675.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.