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Finding the Fourth Proportional to 659.67, 988.11 and 412.04

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Solution

The fourth proportional to 659.67, 988.11 and 412.04 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 988.11 = 412.04 : x
  2. Step 2: Convert to fraction form
    659.67/988.11 = 412.04/x
  3. Step 3: Cross multiply
    659.67x = 988.11 × 412.04
  4. Step 4: Simplify right side
    659.67x = 407,140.84
  5. Step 5: Solve for x
    x = 407,140.84/659.67
  6. Step 6: Final answer
    x = 617.19

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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.