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Finding the Fourth Proportional to 1,318.05, 1,977.21 and 452.25

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Solution

The fourth proportional to 1,318.05, 1,977.21 and 452.25 is: 678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.05 : 1,977.21 = 452.25 : x
  2. Step 2: Convert to fraction form
    1,318.05/1,977.21 = 452.25/x
  3. Step 3: Cross multiply
    1,318.05x = 1,977.21 × 452.25
  4. Step 4: Simplify right side
    1,318.05x = 894,193.22
  5. Step 5: Solve for x
    x = 894,193.22/1,318.05
  6. Step 6: Final answer
    x = 678.42

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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.