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Finding the Fourth Proportional to 1,038.60, 1,558.67 and 490.92

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Solution

The fourth proportional to 1,038.60, 1,558.67 and 490.92 is: 736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.60 : 1,558.67 = 490.92 : x
  2. Step 2: Convert to fraction form
    1,038.60/1,558.67 = 490.92/x
  3. Step 3: Cross multiply
    1,038.60x = 1,558.67 × 490.92
  4. Step 4: Simplify right side
    1,038.60x = 765,179.56
  5. Step 5: Solve for x
    x = 765,179.56/1,038.60
  6. Step 6: Final answer
    x = 736.74

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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.