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Finding the Fourth Proportional to 933.42, 1,398.84 and 823.54

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Solution

The fourth proportional to 933.42, 1,398.84 and 823.54 is: 1,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.42 : 1,398.84 = 823.54 : x
  2. Step 2: Convert to fraction form
    933.42/1,398.84 = 823.54/x
  3. Step 3: Cross multiply
    933.42x = 1,398.84 × 823.54
  4. Step 4: Simplify right side
    933.42x = 1,152,007.61
  5. Step 5: Solve for x
    x = 1,152,007.61/933.42
  6. Step 6: Final answer
    x = 1,234.17

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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.