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Finding the Fourth Proportional to 1,056.21, 1,456.91 and 682.59

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Solution

The fourth proportional to 1,056.21, 1,456.91 and 682.59 is: 941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,456.91 = 682.59 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,456.91 = 682.59/x
  3. Step 3: Cross multiply
    1,056.21x = 1,456.91 × 682.59
  4. Step 4: Simplify right side
    1,056.21x = 994,472.20
  5. Step 5: Solve for x
    x = 994,472.20/1,056.21
  6. Step 6: Final answer
    x = 941.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.