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Finding the Fourth Proportional to 1,038.48, 1,558.49 and 490.83

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Solution

The fourth proportional to 1,038.48, 1,558.49 and 490.83 is: 736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.48 : 1,558.49 = 490.83 : x
  2. Step 2: Convert to fraction form
    1,038.48/1,558.49 = 490.83/x
  3. Step 3: Cross multiply
    1,038.48x = 1,558.49 × 490.83
  4. Step 4: Simplify right side
    1,038.48x = 764,951.19
  5. Step 5: Solve for x
    x = 764,951.19/1,038.48
  6. Step 6: Final answer
    x = 736.61

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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.