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Finding the Fourth Proportional to 659.48, 987.90 and 399.53

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Solution

The fourth proportional to 659.48, 987.90 and 399.53 is: 598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.48 : 987.90 = 399.53 : x
  2. Step 2: Convert to fraction form
    659.48/987.90 = 399.53/x
  3. Step 3: Cross multiply
    659.48x = 987.90 × 399.53
  4. Step 4: Simplify right side
    659.48x = 394,695.69
  5. Step 5: Solve for x
    x = 394,695.69/659.48
  6. Step 6: Final answer
    x = 598.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.