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Finding the Fourth Proportional to 1,297.45, 1,946.16 and 475.71

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Solution

The fourth proportional to 1,297.45, 1,946.16 and 475.71 is: 713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.45 : 1,946.16 = 475.71 : x
  2. Step 2: Convert to fraction form
    1,297.45/1,946.16 = 475.71/x
  3. Step 3: Cross multiply
    1,297.45x = 1,946.16 × 475.71
  4. Step 4: Simplify right side
    1,297.45x = 925,807.77
  5. Step 5: Solve for x
    x = 925,807.77/1,297.45
  6. Step 6: Final answer
    x = 713.56

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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.