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Finding the Fourth Proportional to 1,431.03, 1,974.87 and 801.55

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Solution

The fourth proportional to 1,431.03, 1,974.87 and 801.55 is: 1,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.03 : 1,974.87 = 801.55 : x
  2. Step 2: Convert to fraction form
    1,431.03/1,974.87 = 801.55/x
  3. Step 3: Cross multiply
    1,431.03x = 1,974.87 × 801.55
  4. Step 4: Simplify right side
    1,431.03x = 1,582,957.05
  5. Step 5: Solve for x
    x = 1,582,957.05/1,431.03
  6. Step 6: Final answer
    x = 1,106.17

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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.