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Finding the Fourth Proportional to 765.98, 1,148.21 and 399.99

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Solution

The fourth proportional to 765.98, 1,148.21 and 399.99 is: 599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,148.21 = 399.99 : x
  2. Step 2: Convert to fraction form
    765.98/1,148.21 = 399.99/x
  3. Step 3: Cross multiply
    765.98x = 1,148.21 × 399.99
  4. Step 4: Simplify right side
    765.98x = 459,270.52
  5. Step 5: Solve for x
    x = 459,270.52/765.98
  6. Step 6: Final answer
    x = 599.59

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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.