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Finding the Fourth Proportional to 771.66, 1,158.51 and 459.88

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Solution

The fourth proportional to 771.66, 1,158.51 and 459.88 is: 690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,158.51 = 459.88 : x
  2. Step 2: Convert to fraction form
    771.66/1,158.51 = 459.88/x
  3. Step 3: Cross multiply
    771.66x = 1,158.51 × 459.88
  4. Step 4: Simplify right side
    771.66x = 532,773.28
  5. Step 5: Solve for x
    x = 532,773.28/771.66
  6. Step 6: Final answer
    x = 690.43

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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.