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Finding the Fourth Proportional to 933.25, 1,287.90 and 519.25

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Solution

The fourth proportional to 933.25, 1,287.90 and 519.25 is: 716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.25 : 1,287.90 = 519.25 : x
  2. Step 2: Convert to fraction form
    933.25/1,287.90 = 519.25/x
  3. Step 3: Cross multiply
    933.25x = 1,287.90 × 519.25
  4. Step 4: Simplify right side
    933.25x = 668,742.08
  5. Step 5: Solve for x
    x = 668,742.08/933.25
  6. Step 6: Final answer
    x = 716.57

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