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Finding the Fourth Proportional to 1,265.75, 1,746.59 and 734.65

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Solution

The fourth proportional to 1,265.75, 1,746.59 and 734.65 is: 1,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.75 : 1,746.59 = 734.65 : x
  2. Step 2: Convert to fraction form
    1,265.75/1,746.59 = 734.65/x
  3. Step 3: Cross multiply
    1,265.75x = 1,746.59 × 734.65
  4. Step 4: Simplify right side
    1,265.75x = 1,283,132.34
  5. Step 5: Solve for x
    x = 1,283,132.34/1,265.75
  6. Step 6: Final answer
    x = 1,013.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.