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Finding the Fourth Proportional to 771.67, 1,158.90 and 707.41

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Solution

The fourth proportional to 771.67, 1,158.90 and 707.41 is: 1,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,158.90 = 707.41 : x
  2. Step 2: Convert to fraction form
    771.67/1,158.90 = 707.41/x
  3. Step 3: Cross multiply
    771.67x = 1,158.90 × 707.41
  4. Step 4: Simplify right side
    771.67x = 819,817.45
  5. Step 5: Solve for x
    x = 819,817.45/771.67
  6. Step 6: Final answer
    x = 1,062.39

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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.