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Finding the Fourth Proportional to 659.52, 908.54 and 564.68

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Solution

The fourth proportional to 659.52, 908.54 and 564.68 is: 777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.52 : 908.54 = 564.68 : x
  2. Step 2: Convert to fraction form
    659.52/908.54 = 564.68/x
  3. Step 3: Cross multiply
    659.52x = 908.54 × 564.68
  4. Step 4: Simplify right side
    659.52x = 513,031.54
  5. Step 5: Solve for x
    x = 513,031.54/659.52
  6. Step 6: Final answer
    x = 777.89

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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.