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Finding the Fourth Proportional to 653.99, 903.09 and 487.91

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Solution

The fourth proportional to 653.99, 903.09 and 487.91 is: 673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.99 : 903.09 = 487.91 : x
  2. Step 2: Convert to fraction form
    653.99/903.09 = 487.91/x
  3. Step 3: Cross multiply
    653.99x = 903.09 × 487.91
  4. Step 4: Simplify right side
    653.99x = 440,624.07
  5. Step 5: Solve for x
    x = 440,624.07/653.99
  6. Step 6: Final answer
    x = 673.75

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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.