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Finding the Fourth Proportional to 862.07, 1,188.54 and 696.02

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Solution

The fourth proportional to 862.07, 1,188.54 and 696.02 is: 959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.07 : 1,188.54 = 696.02 : x
  2. Step 2: Convert to fraction form
    862.07/1,188.54 = 696.02/x
  3. Step 3: Cross multiply
    862.07x = 1,188.54 × 696.02
  4. Step 4: Simplify right side
    862.07x = 827,241.67
  5. Step 5: Solve for x
    x = 827,241.67/862.07
  6. Step 6: Final answer
    x = 959.60

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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.