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Finding the Fourth Proportional to 1,297.14, 1,946.01 and 475.41

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Solution

The fourth proportional to 1,297.14, 1,946.01 and 475.41 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.14 : 1,946.01 = 475.41 : x
  2. Step 2: Convert to fraction form
    1,297.14/1,946.01 = 475.41/x
  3. Step 3: Cross multiply
    1,297.14x = 1,946.01 × 475.41
  4. Step 4: Simplify right side
    1,297.14x = 925,152.61
  5. Step 5: Solve for x
    x = 925,152.61/1,297.14
  6. Step 6: Final answer
    x = 713.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.