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Finding the Fourth Proportional to 1,295.41, 1,787.72 and 735.91

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Solution

The fourth proportional to 1,295.41, 1,787.72 and 735.91 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.41 : 1,787.72 = 735.91 : x
  2. Step 2: Convert to fraction form
    1,295.41/1,787.72 = 735.91/x
  3. Step 3: Cross multiply
    1,295.41x = 1,787.72 × 735.91
  4. Step 4: Simplify right side
    1,295.41x = 1,315,601.03
  5. Step 5: Solve for x
    x = 1,315,601.03/1,295.41
  6. Step 6: Final answer
    x = 1,015.59

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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.