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Finding the Fourth Proportional to 1,157.07, 1,735.14 and 426.49

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Solution

The fourth proportional to 1,157.07, 1,735.14 and 426.49 is: 639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.07 : 1,735.14 = 426.49 : x
  2. Step 2: Convert to fraction form
    1,157.07/1,735.14 = 426.49/x
  3. Step 3: Cross multiply
    1,157.07x = 1,735.14 × 426.49
  4. Step 4: Simplify right side
    1,157.07x = 740,017.12
  5. Step 5: Solve for x
    x = 740,017.12/1,157.07
  6. Step 6: Final answer
    x = 639.56

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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.