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Finding the Fourth Proportional to 994.68, 1,493.10 and 508.14

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Solution

The fourth proportional to 994.68, 1,493.10 and 508.14 is: 762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.68 : 1,493.10 = 508.14 : x
  2. Step 2: Convert to fraction form
    994.68/1,493.10 = 508.14/x
  3. Step 3: Cross multiply
    994.68x = 1,493.10 × 508.14
  4. Step 4: Simplify right side
    994.68x = 758,703.83
  5. Step 5: Solve for x
    x = 758,703.83/994.68
  6. Step 6: Final answer
    x = 762.76

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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.