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Finding the Fourth Proportional to 846.40, 1,167.86 and 610.70

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Solution

The fourth proportional to 846.40, 1,167.86 and 610.70 is: 842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.40 : 1,167.86 = 610.70 : x
  2. Step 2: Convert to fraction form
    846.40/1,167.86 = 610.70/x
  3. Step 3: Cross multiply
    846.40x = 1,167.86 × 610.70
  4. Step 4: Simplify right side
    846.40x = 713,208.98
  5. Step 5: Solve for x
    x = 713,208.98/846.40
  6. Step 6: Final answer
    x = 842.64

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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.