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Finding the Fourth Proportional to 1,433.14, 1,977.61 and 803.62

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Solution

The fourth proportional to 1,433.14, 1,977.61 and 803.62 is: 1,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.14 : 1,977.61 = 803.62 : x
  2. Step 2: Convert to fraction form
    1,433.14/1,977.61 = 803.62/x
  3. Step 3: Cross multiply
    1,433.14x = 1,977.61 × 803.62
  4. Step 4: Simplify right side
    1,433.14x = 1,589,246.95
  5. Step 5: Solve for x
    x = 1,589,246.95/1,433.14
  6. Step 6: Final answer
    x = 1,108.93

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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.