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Finding the Fourth Proportional to 1,297.38, 1,946.49 and 431.82

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Solution

The fourth proportional to 1,297.38, 1,946.49 and 431.82 is: 647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.38 : 1,946.49 = 431.82 : x
  2. Step 2: Convert to fraction form
    1,297.38/1,946.49 = 431.82/x
  3. Step 3: Cross multiply
    1,297.38x = 1,946.49 × 431.82
  4. Step 4: Simplify right side
    1,297.38x = 840,533.31
  5. Step 5: Solve for x
    x = 840,533.31/1,297.38
  6. Step 6: Final answer
    x = 647.87

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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.