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Finding the Fourth Proportional to 1,316.52, 1,974.84 and 450.84

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Solution

The fourth proportional to 1,316.52, 1,974.84 and 450.84 is: 676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.52 : 1,974.84 = 450.84 : x
  2. Step 2: Convert to fraction form
    1,316.52/1,974.84 = 450.84/x
  3. Step 3: Cross multiply
    1,316.52x = 1,974.84 × 450.84
  4. Step 4: Simplify right side
    1,316.52x = 890,336.87
  5. Step 5: Solve for x
    x = 890,336.87/1,316.52
  6. Step 6: Final answer
    x = 676.28

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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.