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Finding the Fourth Proportional to 1,297.53, 1,946.49 and 431.64

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Solution

The fourth proportional to 1,297.53, 1,946.49 and 431.64 is: 647.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.53 : 1,946.49 = 431.64 : x
  2. Step 2: Convert to fraction form
    1,297.53/1,946.49 = 431.64/x
  3. Step 3: Cross multiply
    1,297.53x = 1,946.49 × 431.64
  4. Step 4: Simplify right side
    1,297.53x = 840,182.94
  5. Step 5: Solve for x
    x = 840,182.94/1,297.53
  6. Step 6: Final answer
    x = 647.52

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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.