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Finding the Fourth Proportional to 613.56, 919.38 and 521.88

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Solution

The fourth proportional to 613.56, 919.38 and 521.88 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.56 : 919.38 = 521.88 : x
  2. Step 2: Convert to fraction form
    613.56/919.38 = 521.88/x
  3. Step 3: Cross multiply
    613.56x = 919.38 × 521.88
  4. Step 4: Simplify right side
    613.56x = 479,806.03
  5. Step 5: Solve for x
    x = 479,806.03/613.56
  6. Step 6: Final answer
    x = 782.00

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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.