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Finding the Fourth Proportional to 1,318.87, 1,978.58 and 441.27

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Solution

The fourth proportional to 1,318.87, 1,978.58 and 441.27 is: 662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.87 : 1,978.58 = 441.27 : x
  2. Step 2: Convert to fraction form
    1,318.87/1,978.58 = 441.27/x
  3. Step 3: Cross multiply
    1,318.87x = 1,978.58 × 441.27
  4. Step 4: Simplify right side
    1,318.87x = 873,088.00
  5. Step 5: Solve for x
    x = 873,088.00/1,318.87
  6. Step 6: Final answer
    x = 662.00

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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.