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Finding the Fourth Proportional to 599.84, 900.90 and 513.32

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Solution

The fourth proportional to 599.84, 900.90 and 513.32 is: 770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 900.90 = 513.32 : x
  2. Step 2: Convert to fraction form
    599.84/900.90 = 513.32/x
  3. Step 3: Cross multiply
    599.84x = 900.90 × 513.32
  4. Step 4: Simplify right side
    599.84x = 462,449.99
  5. Step 5: Solve for x
    x = 462,449.99/599.84
  6. Step 6: Final answer
    x = 770.96

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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.