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Finding the Fourth Proportional to 1,317.98, 1,977.18 and 440.21

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Solution

The fourth proportional to 1,317.98, 1,977.18 and 440.21 is: 660.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.98 : 1,977.18 = 440.21 : x
  2. Step 2: Convert to fraction form
    1,317.98/1,977.18 = 440.21/x
  3. Step 3: Cross multiply
    1,317.98x = 1,977.18 × 440.21
  4. Step 4: Simplify right side
    1,317.98x = 870,377.70
  5. Step 5: Solve for x
    x = 870,377.70/1,317.98
  6. Step 6: Final answer
    x = 660.39

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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.