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Finding the Fourth Proportional to 660.76, 911.79 and 590.59

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Solution

The fourth proportional to 660.76, 911.79 and 590.59 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.76 : 911.79 = 590.59 : x
  2. Step 2: Convert to fraction form
    660.76/911.79 = 590.59/x
  3. Step 3: Cross multiply
    660.76x = 911.79 × 590.59
  4. Step 4: Simplify right side
    660.76x = 538,494.06
  5. Step 5: Solve for x
    x = 538,494.06/660.76
  6. Step 6: Final answer
    x = 814.96

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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.