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Finding the Fourth Proportional to 1,688.03, 2,531.71 and 517.73

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Solution

The fourth proportional to 1,688.03, 2,531.71 and 517.73 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.03 : 2,531.71 = 517.73 : x
  2. Step 2: Convert to fraction form
    1,688.03/2,531.71 = 517.73/x
  3. Step 3: Cross multiply
    1,688.03x = 2,531.71 × 517.73
  4. Step 4: Simplify right side
    1,688.03x = 1,310,747.25
  5. Step 5: Solve for x
    x = 1,310,747.25/1,688.03
  6. Step 6: Final answer
    x = 776.50

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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.