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Finding the Fourth Proportional to 1,351.42, 2,027.14 and 473.88

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Solution

The fourth proportional to 1,351.42, 2,027.14 and 473.88 is: 710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.42 : 2,027.14 = 473.88 : x
  2. Step 2: Convert to fraction form
    1,351.42/2,027.14 = 473.88/x
  3. Step 3: Cross multiply
    1,351.42x = 2,027.14 × 473.88
  4. Step 4: Simplify right side
    1,351.42x = 960,621.10
  5. Step 5: Solve for x
    x = 960,621.10/1,351.42
  6. Step 6: Final answer
    x = 710.82

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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.