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Finding the Fourth Proportional to 833.99, 1,251 and 286.18

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Solution

The fourth proportional to 833.99, 1,251 and 286.18 is: 429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.99 : 1,251 = 286.18 : x
  2. Step 2: Convert to fraction form
    833.99/1,251 = 286.18/x
  3. Step 3: Cross multiply
    833.99x = 1,251 × 286.18
  4. Step 4: Simplify right side
    833.99x = 358,011.18
  5. Step 5: Solve for x
    x = 358,011.18/833.99
  6. Step 6: Final answer
    x = 429.28

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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.