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Finding the Fourth Proportional to 659.43, 910 and 512.25

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Solution

The fourth proportional to 659.43, 910 and 512.25 is: 706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.43 : 910 = 512.25 : x
  2. Step 2: Convert to fraction form
    659.43/910 = 512.25/x
  3. Step 3: Cross multiply
    659.43x = 910 × 512.25
  4. Step 4: Simplify right side
    659.43x = 466,147.50
  5. Step 5: Solve for x
    x = 466,147.50/659.43
  6. Step 6: Final answer
    x = 706.89

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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.