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Finding the Fourth Proportional to 619.68, 854.10 and 564.60

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Solution

The fourth proportional to 619.68, 854.10 and 564.60 is: 778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.68 : 854.10 = 564.60 : x
  2. Step 2: Convert to fraction form
    619.68/854.10 = 564.60/x
  3. Step 3: Cross multiply
    619.68x = 854.10 × 564.60
  4. Step 4: Simplify right side
    619.68x = 482,224.86
  5. Step 5: Solve for x
    x = 482,224.86/619.68
  6. Step 6: Final answer
    x = 778.18

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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.