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Finding the Fourth Proportional to 1,265.62, 1,746.57 and 734.61

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Solution

The fourth proportional to 1,265.62, 1,746.57 and 734.61 is: 1,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.62 : 1,746.57 = 734.61 : x
  2. Step 2: Convert to fraction form
    1,265.62/1,746.57 = 734.61/x
  3. Step 3: Cross multiply
    1,265.62x = 1,746.57 × 734.61
  4. Step 4: Simplify right side
    1,265.62x = 1,283,047.79
  5. Step 5: Solve for x
    x = 1,283,047.79/1,265.62
  6. Step 6: Final answer
    x = 1,013.77

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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.