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Finding the Fourth Proportional to 1,259.01, 1,895.94 and 1,098.63

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Solution

The fourth proportional to 1,259.01, 1,895.94 and 1,098.63 is: 1,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.01 : 1,895.94 = 1,098.63 : x
  2. Step 2: Convert to fraction form
    1,259.01/1,895.94 = 1,098.63/x
  3. Step 3: Cross multiply
    1,259.01x = 1,895.94 × 1,098.63
  4. Step 4: Simplify right side
    1,259.01x = 2,082,936.56
  5. Step 5: Solve for x
    x = 2,082,936.56/1,259.01
  6. Step 6: Final answer
    x = 1,654.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.