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Finding the Fourth Proportional to 926.38, 1,387.13 and 650.98

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Solution

The fourth proportional to 926.38, 1,387.13 and 650.98 is: 974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.38 : 1,387.13 = 650.98 : x
  2. Step 2: Convert to fraction form
    926.38/1,387.13 = 650.98/x
  3. Step 3: Cross multiply
    926.38x = 1,387.13 × 650.98
  4. Step 4: Simplify right side
    926.38x = 902,992.05
  5. Step 5: Solve for x
    x = 902,992.05/926.38
  6. Step 6: Final answer
    x = 974.76

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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.