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Finding the Fourth Proportional to 1,259.33, 1,738.34 and 900.87

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Solution

The fourth proportional to 1,259.33, 1,738.34 and 900.87 is: 1,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.33 : 1,738.34 = 900.87 : x
  2. Step 2: Convert to fraction form
    1,259.33/1,738.34 = 900.87/x
  3. Step 3: Cross multiply
    1,259.33x = 1,738.34 × 900.87
  4. Step 4: Simplify right side
    1,259.33x = 1,566,022.84
  5. Step 5: Solve for x
    x = 1,566,022.84/1,259.33
  6. Step 6: Final answer
    x = 1,243.53

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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.