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Finding the Fourth Proportional to 1,293.94, 1,941.66 and 514.02

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Solution

The fourth proportional to 1,293.94, 1,941.66 and 514.02 is: 771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.94 : 1,941.66 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,293.94/1,941.66 = 514.02/x
  3. Step 3: Cross multiply
    1,293.94x = 1,941.66 × 514.02
  4. Step 4: Simplify right side
    1,293.94x = 998,052.07
  5. Step 5: Solve for x
    x = 998,052.07/1,293.94
  6. Step 6: Final answer
    x = 771.33

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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.