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Finding the Fourth Proportional to 833.65, 1,150.31 and 460.56

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Solution

The fourth proportional to 833.65, 1,150.31 and 460.56 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.65 : 1,150.31 = 460.56 : x
  2. Step 2: Convert to fraction form
    833.65/1,150.31 = 460.56/x
  3. Step 3: Cross multiply
    833.65x = 1,150.31 × 460.56
  4. Step 4: Simplify right side
    833.65x = 529,786.77
  5. Step 5: Solve for x
    x = 529,786.77/833.65
  6. Step 6: Final answer
    x = 635.50

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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.