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Finding the Fourth Proportional to 1,265.22, 1,897.20 and 615.51

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Solution

The fourth proportional to 1,265.22, 1,897.20 and 615.51 is: 922.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.22 : 1,897.20 = 615.51 : x
  2. Step 2: Convert to fraction form
    1,265.22/1,897.20 = 615.51/x
  3. Step 3: Cross multiply
    1,265.22x = 1,897.20 × 615.51
  4. Step 4: Simplify right side
    1,265.22x = 1,167,745.57
  5. Step 5: Solve for x
    x = 1,167,745.57/1,265.22
  6. Step 6: Final answer
    x = 922.96

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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.