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Finding the Fourth Proportional to 656.50, 899.41 and 631.90

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Solution

The fourth proportional to 656.50, 899.41 and 631.90 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 899.41 = 631.90 : x
  2. Step 2: Convert to fraction form
    656.50/899.41 = 631.90/x
  3. Step 3: Cross multiply
    656.50x = 899.41 × 631.90
  4. Step 4: Simplify right side
    656.50x = 568,337.18
  5. Step 5: Solve for x
    x = 568,337.18/656.50
  6. Step 6: Final answer
    x = 865.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.