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Finding the Fourth Proportional to 833.42, 1,150.09 and 460.37

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Solution

The fourth proportional to 833.42, 1,150.09 and 460.37 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.42 : 1,150.09 = 460.37 : x
  2. Step 2: Convert to fraction form
    833.42/1,150.09 = 460.37/x
  3. Step 3: Cross multiply
    833.42x = 1,150.09 × 460.37
  4. Step 4: Simplify right side
    833.42x = 529,470.38
  5. Step 5: Solve for x
    x = 529,470.38/833.42
  6. Step 6: Final answer
    x = 635.30

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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.