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Finding the Fourth Proportional to 1,157.39, 1,736.76 and 464.39

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Solution

The fourth proportional to 1,157.39, 1,736.76 and 464.39 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.39 : 1,736.76 = 464.39 : x
  2. Step 2: Convert to fraction form
    1,157.39/1,736.76 = 464.39/x
  3. Step 3: Cross multiply
    1,157.39x = 1,736.76 × 464.39
  4. Step 4: Simplify right side
    1,157.39x = 806,533.98
  5. Step 5: Solve for x
    x = 806,533.98/1,157.39
  6. Step 6: Final answer
    x = 696.86

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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.