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Finding the Fourth Proportional to 659.61, 908.57 and 566.66

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Solution

The fourth proportional to 659.61, 908.57 and 566.66 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.61 : 908.57 = 566.66 : x
  2. Step 2: Convert to fraction form
    659.61/908.57 = 566.66/x
  3. Step 3: Cross multiply
    659.61x = 908.57 × 566.66
  4. Step 4: Simplify right side
    659.61x = 514,853.96
  5. Step 5: Solve for x
    x = 514,853.96/659.61
  6. Step 6: Final answer
    x = 780.54

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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.