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Finding the Fourth Proportional to 656.82, 906.48 and 499.91

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Solution

The fourth proportional to 656.82, 906.48 and 499.91 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.82 : 906.48 = 499.91 : x
  2. Step 2: Convert to fraction form
    656.82/906.48 = 499.91/x
  3. Step 3: Cross multiply
    656.82x = 906.48 × 499.91
  4. Step 4: Simplify right side
    656.82x = 453,153.88
  5. Step 5: Solve for x
    x = 453,153.88/656.82
  6. Step 6: Final answer
    x = 689.92

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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.