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Finding the Fourth Proportional to 1,038.82, 1,558.27 and 389.20

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Solution

The fourth proportional to 1,038.82, 1,558.27 and 389.20 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.82 : 1,558.27 = 389.20 : x
  2. Step 2: Convert to fraction form
    1,038.82/1,558.27 = 389.20/x
  3. Step 3: Cross multiply
    1,038.82x = 1,558.27 × 389.20
  4. Step 4: Simplify right side
    1,038.82x = 606,478.68
  5. Step 5: Solve for x
    x = 606,478.68/1,038.82
  6. Step 6: Final answer
    x = 583.81

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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.