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Finding the Fourth Proportional to 1,029.75, 1,541.60 and 638.57

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Solution

The fourth proportional to 1,029.75, 1,541.60 and 638.57 is: 955.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.75 : 1,541.60 = 638.57 : x
  2. Step 2: Convert to fraction form
    1,029.75/1,541.60 = 638.57/x
  3. Step 3: Cross multiply
    1,029.75x = 1,541.60 × 638.57
  4. Step 4: Simplify right side
    1,029.75x = 984,413.90
  5. Step 5: Solve for x
    x = 984,413.90/1,029.75
  6. Step 6: Final answer
    x = 955.98

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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.