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Finding the Fourth Proportional to 1,688.12, 2,532.22 and 763.51

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Solution

The fourth proportional to 1,688.12, 2,532.22 and 763.51 is: 1,145.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.12 : 2,532.22 = 763.51 : x
  2. Step 2: Convert to fraction form
    1,688.12/2,532.22 = 763.51/x
  3. Step 3: Cross multiply
    1,688.12x = 2,532.22 × 763.51
  4. Step 4: Simplify right side
    1,688.12x = 1,933,367.05
  5. Step 5: Solve for x
    x = 1,933,367.05/1,688.12
  6. Step 6: Final answer
    x = 1,145.28

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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.