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Finding the Fourth Proportional to 846.86, 1,167.37 and 610.70

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Solution

The fourth proportional to 846.86, 1,167.37 and 610.70 is: 841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.86 : 1,167.37 = 610.70 : x
  2. Step 2: Convert to fraction form
    846.86/1,167.37 = 610.70/x
  3. Step 3: Cross multiply
    846.86x = 1,167.37 × 610.70
  4. Step 4: Simplify right side
    846.86x = 712,905.50
  5. Step 5: Solve for x
    x = 712,905.50/846.86
  6. Step 6: Final answer
    x = 841.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.