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Finding the Fourth Proportional to 858.55, 1,185.35 and 701.56

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Solution

The fourth proportional to 858.55, 1,185.35 and 701.56 is: 968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.55 : 1,185.35 = 701.56 : x
  2. Step 2: Convert to fraction form
    858.55/1,185.35 = 701.56/x
  3. Step 3: Cross multiply
    858.55x = 1,185.35 × 701.56
  4. Step 4: Simplify right side
    858.55x = 831,594.15
  5. Step 5: Solve for x
    x = 831,594.15/858.55
  6. Step 6: Final answer
    x = 968.60

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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.