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Finding the Fourth Proportional to 860.75, 1,186.72 and 703.22

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Solution

The fourth proportional to 860.75, 1,186.72 and 703.22 is: 969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.75 : 1,186.72 = 703.22 : x
  2. Step 2: Convert to fraction form
    860.75/1,186.72 = 703.22/x
  3. Step 3: Cross multiply
    860.75x = 1,186.72 × 703.22
  4. Step 4: Simplify right side
    860.75x = 834,525.24
  5. Step 5: Solve for x
    x = 834,525.24/860.75
  6. Step 6: Final answer
    x = 969.53

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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.