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Finding the Fourth Proportional to 1,359.27, 2,038.29 and 385.14

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Solution

The fourth proportional to 1,359.27, 2,038.29 and 385.14 is: 577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.27 : 2,038.29 = 385.14 : x
  2. Step 2: Convert to fraction form
    1,359.27/2,038.29 = 385.14/x
  3. Step 3: Cross multiply
    1,359.27x = 2,038.29 × 385.14
  4. Step 4: Simplify right side
    1,359.27x = 785,027.01
  5. Step 5: Solve for x
    x = 785,027.01/1,359.27
  6. Step 6: Final answer
    x = 577.54

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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.