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Finding the Fourth Proportional to 1,318.31, 1,977.65 and 452.51

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Solution

The fourth proportional to 1,318.31, 1,977.65 and 452.51 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.31 : 1,977.65 = 452.51 : x
  2. Step 2: Convert to fraction form
    1,318.31/1,977.65 = 452.51/x
  3. Step 3: Cross multiply
    1,318.31x = 1,977.65 × 452.51
  4. Step 4: Simplify right side
    1,318.31x = 894,904.14
  5. Step 5: Solve for x
    x = 894,904.14/1,318.31
  6. Step 6: Final answer
    x = 678.83

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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.