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Finding the Fourth Proportional to 1,257.40, 1,735.74 and 837.88

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Solution

The fourth proportional to 1,257.40, 1,735.74 and 837.88 is: 1,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.40 : 1,735.74 = 837.88 : x
  2. Step 2: Convert to fraction form
    1,257.40/1,735.74 = 837.88/x
  3. Step 3: Cross multiply
    1,257.40x = 1,735.74 × 837.88
  4. Step 4: Simplify right side
    1,257.40x = 1,454,341.83
  5. Step 5: Solve for x
    x = 1,454,341.83/1,257.40
  6. Step 6: Final answer
    x = 1,156.63

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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.