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Finding the Fourth Proportional to 1,297.42, 1,946.90 and 517.80

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Solution

The fourth proportional to 1,297.42, 1,946.90 and 517.80 is: 777.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.42 : 1,946.90 = 517.80 : x
  2. Step 2: Convert to fraction form
    1,297.42/1,946.90 = 517.80/x
  3. Step 3: Cross multiply
    1,297.42x = 1,946.90 × 517.80
  4. Step 4: Simplify right side
    1,297.42x = 1,008,104.82
  5. Step 5: Solve for x
    x = 1,008,104.82/1,297.42
  6. Step 6: Final answer
    x = 777.01

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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.