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Finding the Fourth Proportional to 771.01, 1,158.68 and 458.70

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Solution

The fourth proportional to 771.01, 1,158.68 and 458.70 is: 689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.01 : 1,158.68 = 458.70 : x
  2. Step 2: Convert to fraction form
    771.01/1,158.68 = 458.70/x
  3. Step 3: Cross multiply
    771.01x = 1,158.68 × 458.70
  4. Step 4: Simplify right side
    771.01x = 531,484.22
  5. Step 5: Solve for x
    x = 531,484.22/771.01
  6. Step 6: Final answer
    x = 689.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.