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Finding the Fourth Proportional to 1,056.17, 1,456.73 and 682.86

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Solution

The fourth proportional to 1,056.17, 1,456.73 and 682.86 is: 941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.17 : 1,456.73 = 682.86 : x
  2. Step 2: Convert to fraction form
    1,056.17/1,456.73 = 682.86/x
  3. Step 3: Cross multiply
    1,056.17x = 1,456.73 × 682.86
  4. Step 4: Simplify right side
    1,056.17x = 994,739.23
  5. Step 5: Solve for x
    x = 994,739.23/1,056.17
  6. Step 6: Final answer
    x = 941.84

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Why These Related Problems?

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