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Finding the Fourth Proportional to 635.37, 877.01 and 589.20

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Solution

The fourth proportional to 635.37, 877.01 and 589.20 is: 813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.37 : 877.01 = 589.20 : x
  2. Step 2: Convert to fraction form
    635.37/877.01 = 589.20/x
  3. Step 3: Cross multiply
    635.37x = 877.01 × 589.20
  4. Step 4: Simplify right side
    635.37x = 516,731.35
  5. Step 5: Solve for x
    x = 516,731.35/635.37
  6. Step 6: Final answer
    x = 813.28

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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.