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Finding the Fourth Proportional to 1,305.21, 1,957.92 and 574.59

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Solution

The fourth proportional to 1,305.21, 1,957.92 and 574.59 is: 861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.21 : 1,957.92 = 574.59 : x
  2. Step 2: Convert to fraction form
    1,305.21/1,957.92 = 574.59/x
  3. Step 3: Cross multiply
    1,305.21x = 1,957.92 × 574.59
  4. Step 4: Simplify right side
    1,305.21x = 1,125,009.67
  5. Step 5: Solve for x
    x = 1,125,009.67/1,305.21
  6. Step 6: Final answer
    x = 861.94

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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.