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Finding the Fourth Proportional to 839.98, 1,158.96 and 508.42

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Solution

The fourth proportional to 839.98, 1,158.96 and 508.42 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.98 : 1,158.96 = 508.42 : x
  2. Step 2: Convert to fraction form
    839.98/1,158.96 = 508.42/x
  3. Step 3: Cross multiply
    839.98x = 1,158.96 × 508.42
  4. Step 4: Simplify right side
    839.98x = 589,238.44
  5. Step 5: Solve for x
    x = 589,238.44/839.98
  6. Step 6: Final answer
    x = 701.49

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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.