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Finding the Fourth Proportional to 1,157.72, 1,735.97 and 499.59

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Solution

The fourth proportional to 1,157.72, 1,735.97 and 499.59 is: 749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.72 : 1,735.97 = 499.59 : x
  2. Step 2: Convert to fraction form
    1,157.72/1,735.97 = 499.59/x
  3. Step 3: Cross multiply
    1,157.72x = 1,735.97 × 499.59
  4. Step 4: Simplify right side
    1,157.72x = 867,270.75
  5. Step 5: Solve for x
    x = 867,270.75/1,157.72
  6. Step 6: Final answer
    x = 749.12

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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.