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Finding the Fourth Proportional to 846.08, 1,166.64 and 679.76

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Solution

The fourth proportional to 846.08, 1,166.64 and 679.76 is: 937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.08 : 1,166.64 = 679.76 : x
  2. Step 2: Convert to fraction form
    846.08/1,166.64 = 679.76/x
  3. Step 3: Cross multiply
    846.08x = 1,166.64 × 679.76
  4. Step 4: Simplify right side
    846.08x = 793,035.21
  5. Step 5: Solve for x
    x = 793,035.21/846.08
  6. Step 6: Final answer
    x = 937.31

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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.