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Finding the Fourth Proportional to 1,342.37, 2,011.03 and 520.22

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Solution

The fourth proportional to 1,342.37, 2,011.03 and 520.22 is: 779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.37 : 2,011.03 = 520.22 : x
  2. Step 2: Convert to fraction form
    1,342.37/2,011.03 = 520.22/x
  3. Step 3: Cross multiply
    1,342.37x = 2,011.03 × 520.22
  4. Step 4: Simplify right side
    1,342.37x = 1,046,181.75
  5. Step 5: Solve for x
    x = 1,046,181.75/1,342.37
  6. Step 6: Final answer
    x = 779.35

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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.