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Finding the Fourth Proportional to 1,265.22, 1,745.25 and 934.50

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Solution

The fourth proportional to 1,265.22, 1,745.25 and 934.50 is: 1,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.22 : 1,745.25 = 934.50 : x
  2. Step 2: Convert to fraction form
    1,265.22/1,745.25 = 934.50/x
  3. Step 3: Cross multiply
    1,265.22x = 1,745.25 × 934.50
  4. Step 4: Simplify right side
    1,265.22x = 1,630,936.13
  5. Step 5: Solve for x
    x = 1,630,936.13/1,265.22
  6. Step 6: Final answer
    x = 1,289.05

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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.