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Finding the Fourth Proportional to 654.14, 902.87 and 499.10

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Solution

The fourth proportional to 654.14, 902.87 and 499.10 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 902.87 = 499.10 : x
  2. Step 2: Convert to fraction form
    654.14/902.87 = 499.10/x
  3. Step 3: Cross multiply
    654.14x = 902.87 × 499.10
  4. Step 4: Simplify right side
    654.14x = 450,622.42
  5. Step 5: Solve for x
    x = 450,622.42/654.14
  6. Step 6: Final answer
    x = 688.88

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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.