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Finding the Fourth Proportional to 1,364.13, 2,046.23 and 390.20

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Solution

The fourth proportional to 1,364.13, 2,046.23 and 390.20 is: 585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.13 : 2,046.23 = 390.20 : x
  2. Step 2: Convert to fraction form
    1,364.13/2,046.23 = 390.20/x
  3. Step 3: Cross multiply
    1,364.13x = 2,046.23 × 390.20
  4. Step 4: Simplify right side
    1,364.13x = 798,438.95
  5. Step 5: Solve for x
    x = 798,438.95/1,364.13
  6. Step 6: Final answer
    x = 585.31

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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.