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Finding the Fourth Proportional to 1,157.63, 1,735.89 and 426.69

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Solution

The fourth proportional to 1,157.63, 1,735.89 and 426.69 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.63 : 1,735.89 = 426.69 : x
  2. Step 2: Convert to fraction form
    1,157.63/1,735.89 = 426.69/x
  3. Step 3: Cross multiply
    1,157.63x = 1,735.89 × 426.69
  4. Step 4: Simplify right side
    1,157.63x = 740,693.19
  5. Step 5: Solve for x
    x = 740,693.19/1,157.63
  6. Step 6: Final answer
    x = 639.84

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