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Finding the Fourth Proportional to 1,157.33, 1,735.13 and 426.77

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Solution

The fourth proportional to 1,157.33, 1,735.13 and 426.77 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.33 : 1,735.13 = 426.77 : x
  2. Step 2: Convert to fraction form
    1,157.33/1,735.13 = 426.77/x
  3. Step 3: Cross multiply
    1,157.33x = 1,735.13 × 426.77
  4. Step 4: Simplify right side
    1,157.33x = 740,490.62
  5. Step 5: Solve for x
    x = 740,490.62/1,157.33
  6. Step 6: Final answer
    x = 639.83

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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.