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Finding the Fourth Proportional to 1,364.60, 2,046.52 and 390.44

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Solution

The fourth proportional to 1,364.60, 2,046.52 and 390.44 is: 585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.60 : 2,046.52 = 390.44 : x
  2. Step 2: Convert to fraction form
    1,364.60/2,046.52 = 390.44/x
  3. Step 3: Cross multiply
    1,364.60x = 2,046.52 × 390.44
  4. Step 4: Simplify right side
    1,364.60x = 799,043.27
  5. Step 5: Solve for x
    x = 799,043.27/1,364.60
  6. Step 6: Final answer
    x = 585.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.