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Finding the Fourth Proportional to 635.70, 877.38 and 619.05

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Solution

The fourth proportional to 635.70, 877.38 and 619.05 is: 854.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.70 : 877.38 = 619.05 : x
  2. Step 2: Convert to fraction form
    635.70/877.38 = 619.05/x
  3. Step 3: Cross multiply
    635.70x = 877.38 × 619.05
  4. Step 4: Simplify right side
    635.70x = 543,142.09
  5. Step 5: Solve for x
    x = 543,142.09/635.70
  6. Step 6: Final answer
    x = 854.40

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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.