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Finding the Fourth Proportional to 659.94, 988.09 and 497.13

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Solution

The fourth proportional to 659.94, 988.09 and 497.13 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.94 : 988.09 = 497.13 : x
  2. Step 2: Convert to fraction form
    659.94/988.09 = 497.13/x
  3. Step 3: Cross multiply
    659.94x = 988.09 × 497.13
  4. Step 4: Simplify right side
    659.94x = 491,207.94
  5. Step 5: Solve for x
    x = 491,207.94/659.94
  6. Step 6: Final answer
    x = 744.32

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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.