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Finding the Fourth Proportional to 966.87, 1,334.27 and 826.81

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Solution

The fourth proportional to 966.87, 1,334.27 and 826.81 is: 1,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.87 : 1,334.27 = 826.81 : x
  2. Step 2: Convert to fraction form
    966.87/1,334.27 = 826.81/x
  3. Step 3: Cross multiply
    966.87x = 1,334.27 × 826.81
  4. Step 4: Simplify right side
    966.87x = 1,103,186.51
  5. Step 5: Solve for x
    x = 1,103,186.51/966.87
  6. Step 6: Final answer
    x = 1,140.99

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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.