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Finding the Fourth Proportional to 1,327.37, 1,989.16 and 977.95

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Solution

The fourth proportional to 1,327.37, 1,989.16 and 977.95 is: 1,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.37 : 1,989.16 = 977.95 : x
  2. Step 2: Convert to fraction form
    1,327.37/1,989.16 = 977.95/x
  3. Step 3: Cross multiply
    1,327.37x = 1,989.16 × 977.95
  4. Step 4: Simplify right side
    1,327.37x = 1,945,299.02
  5. Step 5: Solve for x
    x = 1,945,299.02/1,327.37
  6. Step 6: Final answer
    x = 1,465.53

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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.