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Finding the Fourth Proportional to 1,433.09, 1,977.56 and 803.60

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Solution

The fourth proportional to 1,433.09, 1,977.56 and 803.60 is: 1,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.09 : 1,977.56 = 803.60 : x
  2. Step 2: Convert to fraction form
    1,433.09/1,977.56 = 803.60/x
  3. Step 3: Cross multiply
    1,433.09x = 1,977.56 × 803.60
  4. Step 4: Simplify right side
    1,433.09x = 1,589,168.14
  5. Step 5: Solve for x
    x = 1,589,168.14/1,433.09
  6. Step 6: Final answer
    x = 1,108.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.