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Finding the Fourth Proportional to 1,382.32, 2,073.46 and 356.32

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Solution

The fourth proportional to 1,382.32, 2,073.46 and 356.32 is: 534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.32 : 2,073.46 = 356.32 : x
  2. Step 2: Convert to fraction form
    1,382.32/2,073.46 = 356.32/x
  3. Step 3: Cross multiply
    1,382.32x = 2,073.46 × 356.32
  4. Step 4: Simplify right side
    1,382.32x = 738,815.27
  5. Step 5: Solve for x
    x = 738,815.27/1,382.32
  6. Step 6: Final answer
    x = 534.47

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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.