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Finding the Fourth Proportional to 619.56, 854.28 and 565.32

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Solution

The fourth proportional to 619.56, 854.28 and 565.32 is: 779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 854.28 = 565.32 : x
  2. Step 2: Convert to fraction form
    619.56/854.28 = 565.32/x
  3. Step 3: Cross multiply
    619.56x = 854.28 × 565.32
  4. Step 4: Simplify right side
    619.56x = 482,941.57
  5. Step 5: Solve for x
    x = 482,941.57/619.56
  6. Step 6: Final answer
    x = 779.49

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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.