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Finding the Fourth Proportional to 1,689.68, 2,532.12 and 762.92

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Solution

The fourth proportional to 1,689.68, 2,532.12 and 762.92 is: 1,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.68 : 2,532.12 = 762.92 : x
  2. Step 2: Convert to fraction form
    1,689.68/2,532.12 = 762.92/x
  3. Step 3: Cross multiply
    1,689.68x = 2,532.12 × 762.92
  4. Step 4: Simplify right side
    1,689.68x = 1,931,804.99
  5. Step 5: Solve for x
    x = 1,931,804.99/1,689.68
  6. Step 6: Final answer
    x = 1,143.30

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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.