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Finding the Fourth Proportional to 833.15, 1,248.94 and 284.95

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Solution

The fourth proportional to 833.15, 1,248.94 and 284.95 is: 427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.15 : 1,248.94 = 284.95 : x
  2. Step 2: Convert to fraction form
    833.15/1,248.94 = 284.95/x
  3. Step 3: Cross multiply
    833.15x = 1,248.94 × 284.95
  4. Step 4: Simplify right side
    833.15x = 355,885.77
  5. Step 5: Solve for x
    x = 355,885.77/833.15
  6. Step 6: Final answer
    x = 427.16

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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.