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Finding the Fourth Proportional to 920.50, 1,271.31 and 625.25

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Solution

The fourth proportional to 920.50, 1,271.31 and 625.25 is: 863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.50 : 1,271.31 = 625.25 : x
  2. Step 2: Convert to fraction form
    920.50/1,271.31 = 625.25/x
  3. Step 3: Cross multiply
    920.50x = 1,271.31 × 625.25
  4. Step 4: Simplify right side
    920.50x = 794,886.58
  5. Step 5: Solve for x
    x = 794,886.58/920.50
  6. Step 6: Final answer
    x = 863.54

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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.