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Finding the Fourth Proportional to 659.34, 988.11 and 496.89

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Solution

The fourth proportional to 659.34, 988.11 and 496.89 is: 744.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.34 : 988.11 = 496.89 : x
  2. Step 2: Convert to fraction form
    659.34/988.11 = 496.89/x
  3. Step 3: Cross multiply
    659.34x = 988.11 × 496.89
  4. Step 4: Simplify right side
    659.34x = 490,981.98
  5. Step 5: Solve for x
    x = 490,981.98/659.34
  6. Step 6: Final answer
    x = 744.66

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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.