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Finding the Fourth Proportional to 833.42, 1,250.04 and 467.06

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Solution

The fourth proportional to 833.42, 1,250.04 and 467.06 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.42 : 1,250.04 = 467.06 : x
  2. Step 2: Convert to fraction form
    833.42/1,250.04 = 467.06/x
  3. Step 3: Cross multiply
    833.42x = 1,250.04 × 467.06
  4. Step 4: Simplify right side
    833.42x = 583,843.68
  5. Step 5: Solve for x
    x = 583,843.68/833.42
  6. Step 6: Final answer
    x = 700.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.