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Finding the Fourth Proportional to 1,297.26, 1,946.43 and 647.64

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Solution

The fourth proportional to 1,297.26, 1,946.43 and 647.64 is: 971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.26 : 1,946.43 = 647.64 : x
  2. Step 2: Convert to fraction form
    1,297.26/1,946.43 = 647.64/x
  3. Step 3: Cross multiply
    1,297.26x = 1,946.43 × 647.64
  4. Step 4: Simplify right side
    1,297.26x = 1,260,585.93
  5. Step 5: Solve for x
    x = 1,260,585.93/1,297.26
  6. Step 6: Final answer
    x = 971.73

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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.