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Finding the Fourth Proportional to 1,364.85, 2,047.29 and 390.95

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Solution

The fourth proportional to 1,364.85, 2,047.29 and 390.95 is: 586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.85 : 2,047.29 = 390.95 : x
  2. Step 2: Convert to fraction form
    1,364.85/2,047.29 = 390.95/x
  3. Step 3: Cross multiply
    1,364.85x = 2,047.29 × 390.95
  4. Step 4: Simplify right side
    1,364.85x = 800,388.03
  5. Step 5: Solve for x
    x = 800,388.03/1,364.85
  6. Step 6: Final answer
    x = 586.43

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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.