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Finding the Fourth Proportional to 1,688.10, 2,531.26 and 763.21

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Solution

The fourth proportional to 1,688.10, 2,531.26 and 763.21 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.10 : 2,531.26 = 763.21 : x
  2. Step 2: Convert to fraction form
    1,688.10/2,531.26 = 763.21/x
  3. Step 3: Cross multiply
    1,688.10x = 2,531.26 × 763.21
  4. Step 4: Simplify right side
    1,688.10x = 1,931,882.94
  5. Step 5: Solve for x
    x = 1,931,882.94/1,688.10
  6. Step 6: Final answer
    x = 1,144.41

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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.