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Finding the Fourth Proportional to 1,364, 2,046 and 389.96

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Solution

The fourth proportional to 1,364, 2,046 and 389.96 is: 584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364 : 2,046 = 389.96 : x
  2. Step 2: Convert to fraction form
    1,364/2,046 = 389.96/x
  3. Step 3: Cross multiply
    1,364x = 2,046 × 389.96
  4. Step 4: Simplify right side
    1,364x = 797,858.16
  5. Step 5: Solve for x
    x = 797,858.16/1,364
  6. Step 6: Final answer
    x = 584.94

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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.