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Finding the Fourth Proportional to 933.19, 1,287.81 and 519.19

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Solution

The fourth proportional to 933.19, 1,287.81 and 519.19 is: 716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.19 : 1,287.81 = 519.19 : x
  2. Step 2: Convert to fraction form
    933.19/1,287.81 = 519.19/x
  3. Step 3: Cross multiply
    933.19x = 1,287.81 × 519.19
  4. Step 4: Simplify right side
    933.19x = 668,614.85
  5. Step 5: Solve for x
    x = 668,614.85/933.19
  6. Step 6: Final answer
    x = 716.49

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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.