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Finding the Fourth Proportional to 926.38, 1,379.24 and 913.46

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Solution

The fourth proportional to 926.38, 1,379.24 and 913.46 is: 1,360.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.38 : 1,379.24 = 913.46 : x
  2. Step 2: Convert to fraction form
    926.38/1,379.24 = 913.46/x
  3. Step 3: Cross multiply
    926.38x = 1,379.24 × 913.46
  4. Step 4: Simplify right side
    926.38x = 1,259,880.57
  5. Step 5: Solve for x
    x = 1,259,880.57/926.38
  6. Step 6: Final answer
    x = 1,360.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.