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Finding the Fourth Proportional to 1,433.02, 1,977.74 and 803.72

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Solution

The fourth proportional to 1,433.02, 1,977.74 and 803.72 is: 1,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.02 : 1,977.74 = 803.72 : x
  2. Step 2: Convert to fraction form
    1,433.02/1,977.74 = 803.72/x
  3. Step 3: Cross multiply
    1,433.02x = 1,977.74 × 803.72
  4. Step 4: Simplify right side
    1,433.02x = 1,589,549.19
  5. Step 5: Solve for x
    x = 1,589,549.19/1,433.02
  6. Step 6: Final answer
    x = 1,109.23

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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.