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Finding the Fourth Proportional to 933.89, 1,401.08 and 284.63

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Solution

The fourth proportional to 933.89, 1,401.08 and 284.63 is: 427.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.89 : 1,401.08 = 284.63 : x
  2. Step 2: Convert to fraction form
    933.89/1,401.08 = 284.63/x
  3. Step 3: Cross multiply
    933.89x = 1,401.08 × 284.63
  4. Step 4: Simplify right side
    933.89x = 398,780.97
  5. Step 5: Solve for x
    x = 398,780.97/933.89
  6. Step 6: Final answer
    x = 427.01

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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.