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Finding the Fourth Proportional to 833.95, 1,251.11 and 286.12

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Solution

The fourth proportional to 833.95, 1,251.11 and 286.12 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.95 : 1,251.11 = 286.12 : x
  2. Step 2: Convert to fraction form
    833.95/1,251.11 = 286.12/x
  3. Step 3: Cross multiply
    833.95x = 1,251.11 × 286.12
  4. Step 4: Simplify right side
    833.95x = 357,967.59
  5. Step 5: Solve for x
    x = 357,967.59/833.95
  6. Step 6: Final answer
    x = 429.24

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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.