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Finding the Fourth Proportional to 659.06, 986.97 and 530.54

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Solution

The fourth proportional to 659.06, 986.97 and 530.54 is: 794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.06 : 986.97 = 530.54 : x
  2. Step 2: Convert to fraction form
    659.06/986.97 = 530.54/x
  3. Step 3: Cross multiply
    659.06x = 986.97 × 530.54
  4. Step 4: Simplify right side
    659.06x = 523,627.06
  5. Step 5: Solve for x
    x = 523,627.06/659.06
  6. Step 6: Final answer
    x = 794.51

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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.