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Finding the Fourth Proportional to 829.94, 1,145.34 and 475.91

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Solution

The fourth proportional to 829.94, 1,145.34 and 475.91 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.94 : 1,145.34 = 475.91 : x
  2. Step 2: Convert to fraction form
    829.94/1,145.34 = 475.91/x
  3. Step 3: Cross multiply
    829.94x = 1,145.34 × 475.91
  4. Step 4: Simplify right side
    829.94x = 545,077.33
  5. Step 5: Solve for x
    x = 545,077.33/829.94
  6. Step 6: Final answer
    x = 656.77

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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.