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Finding the Fourth Proportional to 1,128.06, 1,683.84 and 1,046.75

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Solution

The fourth proportional to 1,128.06, 1,683.84 and 1,046.75 is: 1,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.06 : 1,683.84 = 1,046.75 : x
  2. Step 2: Convert to fraction form
    1,128.06/1,683.84 = 1,046.75/x
  3. Step 3: Cross multiply
    1,128.06x = 1,683.84 × 1,046.75
  4. Step 4: Simplify right side
    1,128.06x = 1,762,563.73
  5. Step 5: Solve for x
    x = 1,762,563.73/1,128.06
  6. Step 6: Final answer
    x = 1,562.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.