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Finding the Fourth Proportional to 912.90, 1,366.77 and 826.40

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Solution

The fourth proportional to 912.90, 1,366.77 and 826.40 is: 1,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.90 : 1,366.77 = 826.40 : x
  2. Step 2: Convert to fraction form
    912.90/1,366.77 = 826.40/x
  3. Step 3: Cross multiply
    912.90x = 1,366.77 × 826.40
  4. Step 4: Simplify right side
    912.90x = 1,129,505.24
  5. Step 5: Solve for x
    x = 1,129,505.24/912.90
  6. Step 6: Final answer
    x = 1,237.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.