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Finding the Fourth Proportional to 1,297.77, 1,945.99 and 475.71

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Solution

The fourth proportional to 1,297.77, 1,945.99 and 475.71 is: 713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.77 : 1,945.99 = 475.71 : x
  2. Step 2: Convert to fraction form
    1,297.77/1,945.99 = 475.71/x
  3. Step 3: Cross multiply
    1,297.77x = 1,945.99 × 475.71
  4. Step 4: Simplify right side
    1,297.77x = 925,726.90
  5. Step 5: Solve for x
    x = 925,726.90/1,297.77
  6. Step 6: Final answer
    x = 713.32

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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.