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Finding the Fourth Proportional to 846.14, 1,167.15 and 580.46

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Solution

The fourth proportional to 846.14, 1,167.15 and 580.46 is: 800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,167.15 = 580.46 : x
  2. Step 2: Convert to fraction form
    846.14/1,167.15 = 580.46/x
  3. Step 3: Cross multiply
    846.14x = 1,167.15 × 580.46
  4. Step 4: Simplify right side
    846.14x = 677,483.89
  5. Step 5: Solve for x
    x = 677,483.89/846.14
  6. Step 6: Final answer
    x = 800.68

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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.