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Finding the Fourth Proportional to 1,157.05, 1,735.56 and 663.76

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Solution

The fourth proportional to 1,157.05, 1,735.56 and 663.76 is: 995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.05 : 1,735.56 = 663.76 : x
  2. Step 2: Convert to fraction form
    1,157.05/1,735.56 = 663.76/x
  3. Step 3: Cross multiply
    1,157.05x = 1,735.56 × 663.76
  4. Step 4: Simplify right side
    1,157.05x = 1,151,995.31
  5. Step 5: Solve for x
    x = 1,151,995.31/1,157.05
  6. Step 6: Final answer
    x = 995.63

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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.