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Finding the Fourth Proportional to 860.74, 1,186.73 and 703.22

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Solution

The fourth proportional to 860.74, 1,186.73 and 703.22 is: 969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.74 : 1,186.73 = 703.22 : x
  2. Step 2: Convert to fraction form
    860.74/1,186.73 = 703.22/x
  3. Step 3: Cross multiply
    860.74x = 1,186.73 × 703.22
  4. Step 4: Simplify right side
    860.74x = 834,529.41
  5. Step 5: Solve for x
    x = 834,529.41/860.74
  6. Step 6: Final answer
    x = 969.55

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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.