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Finding the Fourth Proportional to 1,265.41, 1,746.17 and 734.31

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Solution

The fourth proportional to 1,265.41, 1,746.17 and 734.31 is: 1,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.41 : 1,746.17 = 734.31 : x
  2. Step 2: Convert to fraction form
    1,265.41/1,746.17 = 734.31/x
  3. Step 3: Cross multiply
    1,265.41x = 1,746.17 × 734.31
  4. Step 4: Simplify right side
    1,265.41x = 1,282,231.93
  5. Step 5: Solve for x
    x = 1,282,231.93/1,265.41
  6. Step 6: Final answer
    x = 1,013.30

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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.