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Finding the Fourth Proportional to 1,156.97, 1,735.60 and 427.06

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Solution

The fourth proportional to 1,156.97, 1,735.60 and 427.06 is: 640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.97 : 1,735.60 = 427.06 : x
  2. Step 2: Convert to fraction form
    1,156.97/1,735.60 = 427.06/x
  3. Step 3: Cross multiply
    1,156.97x = 1,735.60 × 427.06
  4. Step 4: Simplify right side
    1,156.97x = 741,205.34
  5. Step 5: Solve for x
    x = 741,205.34/1,156.97
  6. Step 6: Final answer
    x = 640.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.