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Finding the Fourth Proportional to 1,256.81, 1,735.41 and 785.25

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Solution

The fourth proportional to 1,256.81, 1,735.41 and 785.25 is: 1,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.81 : 1,735.41 = 785.25 : x
  2. Step 2: Convert to fraction form
    1,256.81/1,735.41 = 785.25/x
  3. Step 3: Cross multiply
    1,256.81x = 1,735.41 × 785.25
  4. Step 4: Simplify right side
    1,256.81x = 1,362,730.70
  5. Step 5: Solve for x
    x = 1,362,730.70/1,256.81
  6. Step 6: Final answer
    x = 1,084.28

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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.