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Finding the Fourth Proportional to 1,364.40, 2,046.96 and 390.58

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Solution

The fourth proportional to 1,364.40, 2,046.96 and 390.58 is: 585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.40 : 2,046.96 = 390.58 : x
  2. Step 2: Convert to fraction form
    1,364.40/2,046.96 = 390.58/x
  3. Step 3: Cross multiply
    1,364.40x = 2,046.96 × 390.58
  4. Step 4: Simplify right side
    1,364.40x = 799,501.64
  5. Step 5: Solve for x
    x = 799,501.64/1,364.40
  6. Step 6: Final answer
    x = 585.97

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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.