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Finding the Fourth Proportional to 1,736.32, 2,605.56 and 763.24

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Solution

The fourth proportional to 1,736.32, 2,605.56 and 763.24 is: 1,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.32 : 2,605.56 = 763.24 : x
  2. Step 2: Convert to fraction form
    1,736.32/2,605.56 = 763.24/x
  3. Step 3: Cross multiply
    1,736.32x = 2,605.56 × 763.24
  4. Step 4: Simplify right side
    1,736.32x = 1,988,667.61
  5. Step 5: Solve for x
    x = 1,988,667.61/1,736.32
  6. Step 6: Final answer
    x = 1,145.33

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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.