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Finding the Fourth Proportional to 1,157.77, 1,736.30 and 464.07

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Solution

The fourth proportional to 1,157.77, 1,736.30 and 464.07 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.77 : 1,736.30 = 464.07 : x
  2. Step 2: Convert to fraction form
    1,157.77/1,736.30 = 464.07/x
  3. Step 3: Cross multiply
    1,157.77x = 1,736.30 × 464.07
  4. Step 4: Simplify right side
    1,157.77x = 805,772.41
  5. Step 5: Solve for x
    x = 805,772.41/1,157.77
  6. Step 6: Final answer
    x = 695.97

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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.