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Finding the Fourth Proportional to 933.41, 1,288.12 and 513.78

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Solution

The fourth proportional to 933.41, 1,288.12 and 513.78 is: 709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.41 : 1,288.12 = 513.78 : x
  2. Step 2: Convert to fraction form
    933.41/1,288.12 = 513.78/x
  3. Step 3: Cross multiply
    933.41x = 1,288.12 × 513.78
  4. Step 4: Simplify right side
    933.41x = 661,810.29
  5. Step 5: Solve for x
    x = 661,810.29/933.41
  6. Step 6: Final answer
    x = 709.02

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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.