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Finding the Fourth Proportional to 933.77, 1,400.72 and 284.96

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Solution

The fourth proportional to 933.77, 1,400.72 and 284.96 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.77 : 1,400.72 = 284.96 : x
  2. Step 2: Convert to fraction form
    933.77/1,400.72 = 284.96/x
  3. Step 3: Cross multiply
    933.77x = 1,400.72 × 284.96
  4. Step 4: Simplify right side
    933.77x = 399,149.17
  5. Step 5: Solve for x
    x = 399,149.17/933.77
  6. Step 6: Final answer
    x = 427.46

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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.