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Finding the Fourth Proportional to 933.90, 1,400.82 and 284.64

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Solution

The fourth proportional to 933.90, 1,400.82 and 284.64 is: 426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.90 : 1,400.82 = 284.64 : x
  2. Step 2: Convert to fraction form
    933.90/1,400.82 = 284.64/x
  3. Step 3: Cross multiply
    933.90x = 1,400.82 × 284.64
  4. Step 4: Simplify right side
    933.90x = 398,729.40
  5. Step 5: Solve for x
    x = 398,729.40/933.90
  6. Step 6: Final answer
    x = 426.95

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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.