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Finding the Fourth Proportional to 1,382.86, 2,074.58 and 642.92

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Solution

The fourth proportional to 1,382.86, 2,074.58 and 642.92 is: 964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.86 : 2,074.58 = 642.92 : x
  2. Step 2: Convert to fraction form
    1,382.86/2,074.58 = 642.92/x
  3. Step 3: Cross multiply
    1,382.86x = 2,074.58 × 642.92
  4. Step 4: Simplify right side
    1,382.86x = 1,333,790.58
  5. Step 5: Solve for x
    x = 1,333,790.58/1,382.86
  6. Step 6: Final answer
    x = 964.52

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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.