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Finding the Fourth Proportional to 933.50, 1,288.23 and 513.86

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Solution

The fourth proportional to 933.50, 1,288.23 and 513.86 is: 709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.50 : 1,288.23 = 513.86 : x
  2. Step 2: Convert to fraction form
    933.50/1,288.23 = 513.86/x
  3. Step 3: Cross multiply
    933.50x = 1,288.23 × 513.86
  4. Step 4: Simplify right side
    933.50x = 661,969.87
  5. Step 5: Solve for x
    x = 661,969.87/933.50
  6. Step 6: Final answer
    x = 709.13

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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.