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Finding the Fourth Proportional to 1,143.96, 1,715.46 and 494.28

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Solution

The fourth proportional to 1,143.96, 1,715.46 and 494.28 is: 741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.96 : 1,715.46 = 494.28 : x
  2. Step 2: Convert to fraction form
    1,143.96/1,715.46 = 494.28/x
  3. Step 3: Cross multiply
    1,143.96x = 1,715.46 × 494.28
  4. Step 4: Simplify right side
    1,143.96x = 847,917.57
  5. Step 5: Solve for x
    x = 847,917.57/1,143.96
  6. Step 6: Final answer
    x = 741.21

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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.