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Finding the Fourth Proportional to 1,050.36, 1,450.14 and 696.59

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Solution

The fourth proportional to 1,050.36, 1,450.14 and 696.59 is: 961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.36 : 1,450.14 = 696.59 : x
  2. Step 2: Convert to fraction form
    1,050.36/1,450.14 = 696.59/x
  3. Step 3: Cross multiply
    1,050.36x = 1,450.14 × 696.59
  4. Step 4: Simplify right side
    1,050.36x = 1,010,153.02
  5. Step 5: Solve for x
    x = 1,010,153.02/1,050.36
  6. Step 6: Final answer
    x = 961.72

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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.