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Finding the Fourth Proportional to 1,274.33, 1,909.41 and 785.99

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Solution

The fourth proportional to 1,274.33, 1,909.41 and 785.99 is: 1,177.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.33 : 1,909.41 = 785.99 : x
  2. Step 2: Convert to fraction form
    1,274.33/1,909.41 = 785.99/x
  3. Step 3: Cross multiply
    1,274.33x = 1,909.41 × 785.99
  4. Step 4: Simplify right side
    1,274.33x = 1,500,777.17
  5. Step 5: Solve for x
    x = 1,500,777.17/1,274.33
  6. Step 6: Final answer
    x = 1,177.70

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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.