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Finding the Fourth Proportional to 1,359.24, 2,039.19 and 385.35

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Solution

The fourth proportional to 1,359.24, 2,039.19 and 385.35 is: 578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.24 : 2,039.19 = 385.35 : x
  2. Step 2: Convert to fraction form
    1,359.24/2,039.19 = 385.35/x
  3. Step 3: Cross multiply
    1,359.24x = 2,039.19 × 385.35
  4. Step 4: Simplify right side
    1,359.24x = 785,801.87
  5. Step 5: Solve for x
    x = 785,801.87/1,359.24
  6. Step 6: Final answer
    x = 578.12

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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.