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Finding the Fourth Proportional to 933.26, 1,287.88 and 584.14

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Solution

The fourth proportional to 933.26, 1,287.88 and 584.14 is: 806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.26 : 1,287.88 = 584.14 : x
  2. Step 2: Convert to fraction form
    933.26/1,287.88 = 584.14/x
  3. Step 3: Cross multiply
    933.26x = 1,287.88 × 584.14
  4. Step 4: Simplify right side
    933.26x = 752,302.22
  5. Step 5: Solve for x
    x = 752,302.22/933.26
  6. Step 6: Final answer
    x = 806.10

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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.