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Finding the Fourth Proportional to 1,356.54, 2,034.79 and 382.64

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Solution

The fourth proportional to 1,356.54, 2,034.79 and 382.64 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.54 : 2,034.79 = 382.64 : x
  2. Step 2: Convert to fraction form
    1,356.54/2,034.79 = 382.64/x
  3. Step 3: Cross multiply
    1,356.54x = 2,034.79 × 382.64
  4. Step 4: Simplify right side
    1,356.54x = 778,594.51
  5. Step 5: Solve for x
    x = 778,594.51/1,356.54
  6. Step 6: Final answer
    x = 573.96

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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.