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Finding the Fourth Proportional to 846.76, 1,167.73 and 612.27

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Solution

The fourth proportional to 846.76, 1,167.73 and 612.27 is: 844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.76 : 1,167.73 = 612.27 : x
  2. Step 2: Convert to fraction form
    846.76/1,167.73 = 612.27/x
  3. Step 3: Cross multiply
    846.76x = 1,167.73 × 612.27
  4. Step 4: Simplify right side
    846.76x = 714,960.21
  5. Step 5: Solve for x
    x = 714,960.21/846.76
  6. Step 6: Final answer
    x = 844.35

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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.