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Finding the Fourth Proportional to 1,297.43, 1,945.08 and 517.10

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Solution

The fourth proportional to 1,297.43, 1,945.08 and 517.10 is: 775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.43 : 1,945.08 = 517.10 : x
  2. Step 2: Convert to fraction form
    1,297.43/1,945.08 = 517.10/x
  3. Step 3: Cross multiply
    1,297.43x = 1,945.08 × 517.10
  4. Step 4: Simplify right side
    1,297.43x = 1,005,800.87
  5. Step 5: Solve for x
    x = 1,005,800.87/1,297.43
  6. Step 6: Final answer
    x = 775.23

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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.