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Finding the Fourth Proportional to 1,276.26, 1,913.06 and 865.43

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Solution

The fourth proportional to 1,276.26, 1,913.06 and 865.43 is: 1,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.26 : 1,913.06 = 865.43 : x
  2. Step 2: Convert to fraction form
    1,276.26/1,913.06 = 865.43/x
  3. Step 3: Cross multiply
    1,276.26x = 1,913.06 × 865.43
  4. Step 4: Simplify right side
    1,276.26x = 1,655,612.11
  5. Step 5: Solve for x
    x = 1,655,612.11/1,276.26
  6. Step 6: Final answer
    x = 1,297.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.