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Finding the Fourth Proportional to 833.14, 1,149.69 and 460.13

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Solution

The fourth proportional to 833.14, 1,149.69 and 460.13 is: 634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,149.69 = 460.13 : x
  2. Step 2: Convert to fraction form
    833.14/1,149.69 = 460.13/x
  3. Step 3: Cross multiply
    833.14x = 1,149.69 × 460.13
  4. Step 4: Simplify right side
    833.14x = 529,009.30
  5. Step 5: Solve for x
    x = 529,009.30/833.14
  6. Step 6: Final answer
    x = 634.96

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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.