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Finding the Fourth Proportional to 833.14, 1,149.80 and 460.15

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Solution

The fourth proportional to 833.14, 1,149.80 and 460.15 is: 635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.14 : 1,149.80 = 460.15 : x
  2. Step 2: Convert to fraction form
    833.14/1,149.80 = 460.15/x
  3. Step 3: Cross multiply
    833.14x = 1,149.80 × 460.15
  4. Step 4: Simplify right side
    833.14x = 529,080.47
  5. Step 5: Solve for x
    x = 529,080.47/833.14
  6. Step 6: Final answer
    x = 635.04

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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.