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Finding the Fourth Proportional to 1,297.20, 1,945.29 and 475.23

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Solution

The fourth proportional to 1,297.20, 1,945.29 and 475.23 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.20 : 1,945.29 = 475.23 : x
  2. Step 2: Convert to fraction form
    1,297.20/1,945.29 = 475.23/x
  3. Step 3: Cross multiply
    1,297.20x = 1,945.29 × 475.23
  4. Step 4: Simplify right side
    1,297.20x = 924,460.17
  5. Step 5: Solve for x
    x = 924,460.17/1,297.20
  6. Step 6: Final answer
    x = 712.66

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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.