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Finding the Fourth Proportional to 771.43, 1,158.70 and 463.90

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Solution

The fourth proportional to 771.43, 1,158.70 and 463.90 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.43 : 1,158.70 = 463.90 : x
  2. Step 2: Convert to fraction form
    771.43/1,158.70 = 463.90/x
  3. Step 3: Cross multiply
    771.43x = 1,158.70 × 463.90
  4. Step 4: Simplify right side
    771.43x = 537,520.93
  5. Step 5: Solve for x
    x = 537,520.93/771.43
  6. Step 6: Final answer
    x = 696.79

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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.