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Finding the Fourth Proportional to 619.10, 822.75 and 619.10

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Solution

The fourth proportional to 619.10, 822.75 and 619.10 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.10 : 822.75 = 619.10 : x
  2. Step 2: Convert to fraction form
    619.10/822.75 = 619.10/x
  3. Step 3: Cross multiply
    619.10x = 822.75 × 619.10
  4. Step 4: Simplify right side
    619.10x = 509,364.53
  5. Step 5: Solve for x
    x = 509,364.53/619.10
  6. Step 6: Final answer
    x = 822.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.