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Finding the Fourth Proportional to 1,678.50, 2,517.84 and 524.34

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Solution

The fourth proportional to 1,678.50, 2,517.84 and 524.34 is: 786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.50 : 2,517.84 = 524.34 : x
  2. Step 2: Convert to fraction form
    1,678.50/2,517.84 = 524.34/x
  3. Step 3: Cross multiply
    1,678.50x = 2,517.84 × 524.34
  4. Step 4: Simplify right side
    1,678.50x = 1,320,204.23
  5. Step 5: Solve for x
    x = 1,320,204.23/1,678.50
  6. Step 6: Final answer
    x = 786.54

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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.