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Finding the Fourth Proportional to 659.08, 909.06 and 512.02

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Solution

The fourth proportional to 659.08, 909.06 and 512.02 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.08 : 909.06 = 512.02 : x
  2. Step 2: Convert to fraction form
    659.08/909.06 = 512.02/x
  3. Step 3: Cross multiply
    659.08x = 909.06 × 512.02
  4. Step 4: Simplify right side
    659.08x = 465,456.90
  5. Step 5: Solve for x
    x = 465,456.90/659.08
  6. Step 6: Final answer
    x = 706.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.