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Finding the Fourth Proportional to 771.45, 1,063.14 and 631.11

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Solution

The fourth proportional to 771.45, 1,063.14 and 631.11 is: 869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.45 : 1,063.14 = 631.11 : x
  2. Step 2: Convert to fraction form
    771.45/1,063.14 = 631.11/x
  3. Step 3: Cross multiply
    771.45x = 1,063.14 × 631.11
  4. Step 4: Simplify right side
    771.45x = 670,958.29
  5. Step 5: Solve for x
    x = 670,958.29/771.45
  6. Step 6: Final answer
    x = 869.74

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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.