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Finding the Fourth Proportional to 846.32, 1,167.44 and 514.56

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Solution

The fourth proportional to 846.32, 1,167.44 and 514.56 is: 709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.32 : 1,167.44 = 514.56 : x
  2. Step 2: Convert to fraction form
    846.32/1,167.44 = 514.56/x
  3. Step 3: Cross multiply
    846.32x = 1,167.44 × 514.56
  4. Step 4: Simplify right side
    846.32x = 600,717.93
  5. Step 5: Solve for x
    x = 600,717.93/846.32
  6. Step 6: Final answer
    x = 709.80

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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.