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Finding the Fourth Proportional to 933.14, 1,287.68 and 513.42

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Solution

The fourth proportional to 933.14, 1,287.68 and 513.42 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.14 : 1,287.68 = 513.42 : x
  2. Step 2: Convert to fraction form
    933.14/1,287.68 = 513.42/x
  3. Step 3: Cross multiply
    933.14x = 1,287.68 × 513.42
  4. Step 4: Simplify right side
    933.14x = 661,120.75
  5. Step 5: Solve for x
    x = 661,120.75/933.14
  6. Step 6: Final answer
    x = 708.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.