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Finding the Fourth Proportional to 665.36, 917.69 and 590.75

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Solution

The fourth proportional to 665.36, 917.69 and 590.75 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.36 : 917.69 = 590.75 : x
  2. Step 2: Convert to fraction form
    665.36/917.69 = 590.75/x
  3. Step 3: Cross multiply
    665.36x = 917.69 × 590.75
  4. Step 4: Simplify right side
    665.36x = 542,117.83
  5. Step 5: Solve for x
    x = 542,117.83/665.36
  6. Step 6: Final answer
    x = 814.78

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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.