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Finding the Fourth Proportional to 1,285.89, 1,774.51 and 696.42

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Solution

The fourth proportional to 1,285.89, 1,774.51 and 696.42 is: 961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.89 : 1,774.51 = 696.42 : x
  2. Step 2: Convert to fraction form
    1,285.89/1,774.51 = 696.42/x
  3. Step 3: Cross multiply
    1,285.89x = 1,774.51 × 696.42
  4. Step 4: Simplify right side
    1,285.89x = 1,235,804.25
  5. Step 5: Solve for x
    x = 1,235,804.25/1,285.89
  6. Step 6: Final answer
    x = 961.05

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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.