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Finding the Fourth Proportional to 1,360.09, 2,039.73 and 385.93

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Solution

The fourth proportional to 1,360.09, 2,039.73 and 385.93 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.09 : 2,039.73 = 385.93 : x
  2. Step 2: Convert to fraction form
    1,360.09/2,039.73 = 385.93/x
  3. Step 3: Cross multiply
    1,360.09x = 2,039.73 × 385.93
  4. Step 4: Simplify right side
    1,360.09x = 787,193.00
  5. Step 5: Solve for x
    x = 787,193.00/1,360.09
  6. Step 6: Final answer
    x = 578.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.