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Finding the Fourth Proportional to 1,056.29, 1,457.24 and 682.53

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Solution

The fourth proportional to 1,056.29, 1,457.24 and 682.53 is: 941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.29 : 1,457.24 = 682.53 : x
  2. Step 2: Convert to fraction form
    1,056.29/1,457.24 = 682.53/x
  3. Step 3: Cross multiply
    1,056.29x = 1,457.24 × 682.53
  4. Step 4: Simplify right side
    1,056.29x = 994,604.98
  5. Step 5: Solve for x
    x = 994,604.98/1,056.29
  6. Step 6: Final answer
    x = 941.60

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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.