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Finding the Fourth Proportional to 1,038.73, 1,558.09 and 1,012.58

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Solution

The fourth proportional to 1,038.73, 1,558.09 and 1,012.58 is: 1,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.73 : 1,558.09 = 1,012.58 : x
  2. Step 2: Convert to fraction form
    1,038.73/1,558.09 = 1,012.58/x
  3. Step 3: Cross multiply
    1,038.73x = 1,558.09 × 1,012.58
  4. Step 4: Simplify right side
    1,038.73x = 1,577,698.85
  5. Step 5: Solve for x
    x = 1,577,698.85/1,038.73
  6. Step 6: Final answer
    x = 1,518.88

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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.