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Finding the Fourth Proportional to 1,265.97, 1,746.95 and 734.87

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Solution

The fourth proportional to 1,265.97, 1,746.95 and 734.87 is: 1,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.97 : 1,746.95 = 734.87 : x
  2. Step 2: Convert to fraction form
    1,265.97/1,746.95 = 734.87/x
  3. Step 3: Cross multiply
    1,265.97x = 1,746.95 × 734.87
  4. Step 4: Simplify right side
    1,265.97x = 1,283,776.15
  5. Step 5: Solve for x
    x = 1,283,776.15/1,265.97
  6. Step 6: Final answer
    x = 1,014.07

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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.