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Finding the Fourth Proportional to 1,259.36, 1,738.08 and 1,011.68

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Solution

The fourth proportional to 1,259.36, 1,738.08 and 1,011.68 is: 1,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.36 : 1,738.08 = 1,011.68 : x
  2. Step 2: Convert to fraction form
    1,259.36/1,738.08 = 1,011.68/x
  3. Step 3: Cross multiply
    1,259.36x = 1,738.08 × 1,011.68
  4. Step 4: Simplify right side
    1,259.36x = 1,758,380.77
  5. Step 5: Solve for x
    x = 1,758,380.77/1,259.36
  6. Step 6: Final answer
    x = 1,396.25

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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.