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Finding the Fourth Proportional to 1,274.16, 1,911.25 and 504.66

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Solution

The fourth proportional to 1,274.16, 1,911.25 and 504.66 is: 756.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.16 : 1,911.25 = 504.66 : x
  2. Step 2: Convert to fraction form
    1,274.16/1,911.25 = 504.66/x
  3. Step 3: Cross multiply
    1,274.16x = 1,911.25 × 504.66
  4. Step 4: Simplify right side
    1,274.16x = 964,530.16
  5. Step 5: Solve for x
    x = 964,530.16/1,274.16
  6. Step 6: Final answer
    x = 756.99

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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.