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Finding the Fourth Proportional to 833.64, 1,250.82 and 285.54

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Solution

The fourth proportional to 833.64, 1,250.82 and 285.54 is: 428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.64 : 1,250.82 = 285.54 : x
  2. Step 2: Convert to fraction form
    833.64/1,250.82 = 285.54/x
  3. Step 3: Cross multiply
    833.64x = 1,250.82 × 285.54
  4. Step 4: Simplify right side
    833.64x = 357,159.14
  5. Step 5: Solve for x
    x = 357,159.14/833.64
  6. Step 6: Final answer
    x = 428.43

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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.