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Finding the Fourth Proportional to 1,256.18, 1,734.10 and 837.28

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Solution

The fourth proportional to 1,256.18, 1,734.10 and 837.28 is: 1,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.18 : 1,734.10 = 837.28 : x
  2. Step 2: Convert to fraction form
    1,256.18/1,734.10 = 837.28/x
  3. Step 3: Cross multiply
    1,256.18x = 1,734.10 × 837.28
  4. Step 4: Simplify right side
    1,256.18x = 1,451,927.25
  5. Step 5: Solve for x
    x = 1,451,927.25/1,256.18
  6. Step 6: Final answer
    x = 1,155.83

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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.