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Finding the Fourth Proportional to 933.26, 1,287.90 and 583.88

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Solution

The fourth proportional to 933.26, 1,287.90 and 583.88 is: 805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.26 : 1,287.90 = 583.88 : x
  2. Step 2: Convert to fraction form
    933.26/1,287.90 = 583.88/x
  3. Step 3: Cross multiply
    933.26x = 1,287.90 × 583.88
  4. Step 4: Simplify right side
    933.26x = 751,972.61
  5. Step 5: Solve for x
    x = 751,972.61/933.26
  6. Step 6: Final answer
    x = 805.75

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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.