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Finding the Fourth Proportional to 1,063.93, 1,596.09 and 414.31

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Solution

The fourth proportional to 1,063.93, 1,596.09 and 414.31 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.93 : 1,596.09 = 414.31 : x
  2. Step 2: Convert to fraction form
    1,063.93/1,596.09 = 414.31/x
  3. Step 3: Cross multiply
    1,063.93x = 1,596.09 × 414.31
  4. Step 4: Simplify right side
    1,063.93x = 661,268.07
  5. Step 5: Solve for x
    x = 661,268.07/1,063.93
  6. Step 6: Final answer
    x = 621.54

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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.