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Finding the Fourth Proportional to 1,257.81, 1,735.95 and 734.01

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Solution

The fourth proportional to 1,257.81, 1,735.95 and 734.01 is: 1,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.81 : 1,735.95 = 734.01 : x
  2. Step 2: Convert to fraction form
    1,257.81/1,735.95 = 734.01/x
  3. Step 3: Cross multiply
    1,257.81x = 1,735.95 × 734.01
  4. Step 4: Simplify right side
    1,257.81x = 1,274,204.66
  5. Step 5: Solve for x
    x = 1,274,204.66/1,257.81
  6. Step 6: Final answer
    x = 1,013.03

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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.