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Finding the Fourth Proportional to 1,683, 2,524.50 and 771

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Solution

The fourth proportional to 1,683, 2,524.50 and 771 is: 1,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683 : 2,524.50 = 771 : x
  2. Step 2: Convert to fraction form
    1,683/2,524.50 = 771/x
  3. Step 3: Cross multiply
    1,683x = 2,524.50 × 771
  4. Step 4: Simplify right side
    1,683x = 1,946,389.50
  5. Step 5: Solve for x
    x = 1,946,389.50/1,683
  6. Step 6: Final answer
    x = 1,156.50

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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.