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Finding the Fourth Proportional to 1,687, 2,530.50 and 775

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Solution

The fourth proportional to 1,687, 2,530.50 and 775 is: 1,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687 : 2,530.50 = 775 : x
  2. Step 2: Convert to fraction form
    1,687/2,530.50 = 775/x
  3. Step 3: Cross multiply
    1,687x = 2,530.50 × 775
  4. Step 4: Simplify right side
    1,687x = 1,961,137.50
  5. Step 5: Solve for x
    x = 1,961,137.50/1,687
  6. Step 6: Final answer
    x = 1,162.50

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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.