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Finding the Fourth Proportional to 1,050.50, 1,450.14 and 696.60

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Solution

The fourth proportional to 1,050.50, 1,450.14 and 696.60 is: 961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.50 : 1,450.14 = 696.60 : x
  2. Step 2: Convert to fraction form
    1,050.50/1,450.14 = 696.60/x
  3. Step 3: Cross multiply
    1,050.50x = 1,450.14 × 696.60
  4. Step 4: Simplify right side
    1,050.50x = 1,010,167.52
  5. Step 5: Solve for x
    x = 1,010,167.52/1,050.50
  6. Step 6: Final answer
    x = 961.61

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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.