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Finding the Fourth Proportional to 833.47, 1,150.17 and 460.47

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Solution

The fourth proportional to 833.47, 1,150.17 and 460.47 is: 635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.47 : 1,150.17 = 460.47 : x
  2. Step 2: Convert to fraction form
    833.47/1,150.17 = 460.47/x
  3. Step 3: Cross multiply
    833.47x = 1,150.17 × 460.47
  4. Step 4: Simplify right side
    833.47x = 529,614.18
  5. Step 5: Solve for x
    x = 529,614.18/833.47
  6. Step 6: Final answer
    x = 635.43

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1.5x scale

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.