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Finding the Fourth Proportional to 599.84, 827.99 and 507.08

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Solution

The fourth proportional to 599.84, 827.99 and 507.08 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.84 : 827.99 = 507.08 : x
  2. Step 2: Convert to fraction form
    599.84/827.99 = 507.08/x
  3. Step 3: Cross multiply
    599.84x = 827.99 × 507.08
  4. Step 4: Simplify right side
    599.84x = 419,853.95
  5. Step 5: Solve for x
    x = 419,853.95/599.84
  6. Step 6: Final answer
    x = 699.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.