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Finding the Fourth Proportional to 664.74, 917.64 and 517.02

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Solution

The fourth proportional to 664.74, 917.64 and 517.02 is: 713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.74 : 917.64 = 517.02 : x
  2. Step 2: Convert to fraction form
    664.74/917.64 = 517.02/x
  3. Step 3: Cross multiply
    664.74x = 917.64 × 517.02
  4. Step 4: Simplify right side
    664.74x = 474,438.23
  5. Step 5: Solve for x
    x = 474,438.23/664.74
  6. Step 6: Final answer
    x = 713.72

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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.