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Finding the Fourth Proportional to 1,196.75, 1,652.33 and 846.83

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Solution

The fourth proportional to 1,196.75, 1,652.33 and 846.83 is: 1,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.75 : 1,652.33 = 846.83 : x
  2. Step 2: Convert to fraction form
    1,196.75/1,652.33 = 846.83/x
  3. Step 3: Cross multiply
    1,196.75x = 1,652.33 × 846.83
  4. Step 4: Simplify right side
    1,196.75x = 1,399,242.61
  5. Step 5: Solve for x
    x = 1,399,242.61/1,196.75
  6. Step 6: Final answer
    x = 1,169.20

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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.