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Finding the Fourth Proportional to 920.40, 1,270.83 and 625.56

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Solution

The fourth proportional to 920.40, 1,270.83 and 625.56 is: 863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.40 : 1,270.83 = 625.56 : x
  2. Step 2: Convert to fraction form
    920.40/1,270.83 = 625.56/x
  3. Step 3: Cross multiply
    920.40x = 1,270.83 × 625.56
  4. Step 4: Simplify right side
    920.40x = 794,980.41
  5. Step 5: Solve for x
    x = 794,980.41/920.40
  6. Step 6: Final answer
    x = 863.73

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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.