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Finding the Fourth Proportional to 654.93, 904.97 and 487.56

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Solution

The fourth proportional to 654.93, 904.97 and 487.56 is: 673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.93 : 904.97 = 487.56 : x
  2. Step 2: Convert to fraction form
    654.93/904.97 = 487.56/x
  3. Step 3: Cross multiply
    654.93x = 904.97 × 487.56
  4. Step 4: Simplify right side
    654.93x = 441,228.39
  5. Step 5: Solve for x
    x = 441,228.39/654.93
  6. Step 6: Final answer
    x = 673.70

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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.