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Finding the Fourth Proportional to 635.56, 956.59 and 565

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Solution

The fourth proportional to 635.56, 956.59 and 565 is: 850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.56 : 956.59 = 565 : x
  2. Step 2: Convert to fraction form
    635.56/956.59 = 565/x
  3. Step 3: Cross multiply
    635.56x = 956.59 × 565
  4. Step 4: Simplify right side
    635.56x = 540,473.35
  5. Step 5: Solve for x
    x = 540,473.35/635.56
  6. Step 6: Final answer
    x = 850.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.