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Finding the Fourth Proportional to 1,359.24, 2,038.76 and 385.22

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Solution

The fourth proportional to 1,359.24, 2,038.76 and 385.22 is: 577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.24 : 2,038.76 = 385.22 : x
  2. Step 2: Convert to fraction form
    1,359.24/2,038.76 = 385.22/x
  3. Step 3: Cross multiply
    1,359.24x = 2,038.76 × 385.22
  4. Step 4: Simplify right side
    1,359.24x = 785,359.01
  5. Step 5: Solve for x
    x = 785,359.01/1,359.24
  6. Step 6: Final answer
    x = 577.79

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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.