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Finding the Fourth Proportional to 1,351.64, 2,027.32 and 474.01

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Solution

The fourth proportional to 1,351.64, 2,027.32 and 474.01 is: 710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.64 : 2,027.32 = 474.01 : x
  2. Step 2: Convert to fraction form
    1,351.64/2,027.32 = 474.01/x
  3. Step 3: Cross multiply
    1,351.64x = 2,027.32 × 474.01
  4. Step 4: Simplify right side
    1,351.64x = 960,969.95
  5. Step 5: Solve for x
    x = 960,969.95/1,351.64
  6. Step 6: Final answer
    x = 710.97

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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.