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Finding the Fourth Proportional to 757.88, 1,135.02 and 468.44

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Solution

The fourth proportional to 757.88, 1,135.02 and 468.44 is: 701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.88 : 1,135.02 = 468.44 : x
  2. Step 2: Convert to fraction form
    757.88/1,135.02 = 468.44/x
  3. Step 3: Cross multiply
    757.88x = 1,135.02 × 468.44
  4. Step 4: Simplify right side
    757.88x = 531,688.77
  5. Step 5: Solve for x
    x = 531,688.77/757.88
  6. Step 6: Final answer
    x = 701.55

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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.