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Finding the Fourth Proportional to 1,076.07, 1,485.00 and 1,038.83

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Solution

The fourth proportional to 1,076.07, 1,485.00 and 1,038.83 is: 1,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.07 : 1,485.00 = 1,038.83 : x
  2. Step 2: Convert to fraction form
    1,076.07/1,485.00 = 1,038.83/x
  3. Step 3: Cross multiply
    1,076.07x = 1,485.00 × 1,038.83
  4. Step 4: Simplify right side
    1,076.07x = 1,542,650.74
  5. Step 5: Solve for x
    x = 1,542,650.74/1,076.07
  6. Step 6: Final answer
    x = 1,433.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.