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Finding the Fourth Proportional to 1,157.69, 1,736.78 and 663.59

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Solution

The fourth proportional to 1,157.69, 1,736.78 and 663.59 is: 995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.69 : 1,736.78 = 663.59 : x
  2. Step 2: Convert to fraction form
    1,157.69/1,736.78 = 663.59/x
  3. Step 3: Cross multiply
    1,157.69x = 1,736.78 × 663.59
  4. Step 4: Simplify right side
    1,157.69x = 1,152,510.86
  5. Step 5: Solve for x
    x = 1,152,510.86/1,157.69
  6. Step 6: Final answer
    x = 995.52

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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.