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Finding the Fourth Proportional to 846.10, 1,167.31 and 491.85

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Solution

The fourth proportional to 846.10, 1,167.31 and 491.85 is: 678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,167.31 = 491.85 : x
  2. Step 2: Convert to fraction form
    846.10/1,167.31 = 491.85/x
  3. Step 3: Cross multiply
    846.10x = 1,167.31 × 491.85
  4. Step 4: Simplify right side
    846.10x = 574,138.76
  5. Step 5: Solve for x
    x = 574,138.76/846.10
  6. Step 6: Final answer
    x = 678.57

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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.