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Finding the Fourth Proportional to 659.16, 987.90 and 496.38

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Solution

The fourth proportional to 659.16, 987.90 and 496.38 is: 743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 987.90 = 496.38 : x
  2. Step 2: Convert to fraction form
    659.16/987.90 = 496.38/x
  3. Step 3: Cross multiply
    659.16x = 987.90 × 496.38
  4. Step 4: Simplify right side
    659.16x = 490,373.80
  5. Step 5: Solve for x
    x = 490,373.80/659.16
  6. Step 6: Final answer
    x = 743.94

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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.