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Finding the Fourth Proportional to 1,274.24, 1,757.93 and 776.70

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Solution

The fourth proportional to 1,274.24, 1,757.93 and 776.70 is: 1,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.24 : 1,757.93 = 776.70 : x
  2. Step 2: Convert to fraction form
    1,274.24/1,757.93 = 776.70/x
  3. Step 3: Cross multiply
    1,274.24x = 1,757.93 × 776.70
  4. Step 4: Simplify right side
    1,274.24x = 1,365,380.35
  5. Step 5: Solve for x
    x = 1,365,380.35/1,274.24
  6. Step 6: Final answer
    x = 1,071.52

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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.