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Finding the Fourth Proportional to 829.56, 1,145.34 and 634.08

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Solution

The fourth proportional to 829.56, 1,145.34 and 634.08 is: 875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,145.34 = 634.08 : x
  2. Step 2: Convert to fraction form
    829.56/1,145.34 = 634.08/x
  3. Step 3: Cross multiply
    829.56x = 1,145.34 × 634.08
  4. Step 4: Simplify right side
    829.56x = 726,237.19
  5. Step 5: Solve for x
    x = 726,237.19/829.56
  6. Step 6: Final answer
    x = 875.45

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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.