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Finding the Fourth Proportional to 1,305.42, 1,957.86 and 483.68

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Solution

The fourth proportional to 1,305.42, 1,957.86 and 483.68 is: 725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.42 : 1,957.86 = 483.68 : x
  2. Step 2: Convert to fraction form
    1,305.42/1,957.86 = 483.68/x
  3. Step 3: Cross multiply
    1,305.42x = 1,957.86 × 483.68
  4. Step 4: Simplify right side
    1,305.42x = 946,967.94
  5. Step 5: Solve for x
    x = 946,967.94/1,305.42
  6. Step 6: Final answer
    x = 725.41

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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.