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Finding the Fourth Proportional to 771.63, 1,157.22 and 694.17

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Solution

The fourth proportional to 771.63, 1,157.22 and 694.17 is: 1,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.63 : 1,157.22 = 694.17 : x
  2. Step 2: Convert to fraction form
    771.63/1,157.22 = 694.17/x
  3. Step 3: Cross multiply
    771.63x = 1,157.22 × 694.17
  4. Step 4: Simplify right side
    771.63x = 803,307.41
  5. Step 5: Solve for x
    x = 803,307.41/771.63
  6. Step 6: Final answer
    x = 1,041.05

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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.