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Finding the Fourth Proportional to 611.99, 843.80 and 507.19

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Solution

The fourth proportional to 611.99, 843.80 and 507.19 is: 699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.99 : 843.80 = 507.19 : x
  2. Step 2: Convert to fraction form
    611.99/843.80 = 507.19/x
  3. Step 3: Cross multiply
    611.99x = 843.80 × 507.19
  4. Step 4: Simplify right side
    611.99x = 427,966.92
  5. Step 5: Solve for x
    x = 427,966.92/611.99
  6. Step 6: Final answer
    x = 699.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.