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Finding the Fourth Proportional to 859.41, 1,184.90 and 701.87

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Solution

The fourth proportional to 859.41, 1,184.90 and 701.87 is: 967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,184.90 = 701.87 : x
  2. Step 2: Convert to fraction form
    859.41/1,184.90 = 701.87/x
  3. Step 3: Cross multiply
    859.41x = 1,184.90 × 701.87
  4. Step 4: Simplify right side
    859.41x = 831,636.33
  5. Step 5: Solve for x
    x = 831,636.33/859.41
  6. Step 6: Final answer
    x = 967.68

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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.