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Finding the Fourth Proportional to 1,304.00, 1,953.26 and 574.09

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Solution

The fourth proportional to 1,304.00, 1,953.26 and 574.09 is: 859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.00 : 1,953.26 = 574.09 : x
  2. Step 2: Convert to fraction form
    1,304.00/1,953.26 = 574.09/x
  3. Step 3: Cross multiply
    1,304.00x = 1,953.26 × 574.09
  4. Step 4: Simplify right side
    1,304.00x = 1,121,344.66
  5. Step 5: Solve for x
    x = 1,121,344.66/1,304.00
  6. Step 6: Final answer
    x = 859.93

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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.