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Finding the Fourth Proportional to 933.28, 1,287.36 and 601.18

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Solution

The fourth proportional to 933.28, 1,287.36 and 601.18 is: 829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.28 : 1,287.36 = 601.18 : x
  2. Step 2: Convert to fraction form
    933.28/1,287.36 = 601.18/x
  3. Step 3: Cross multiply
    933.28x = 1,287.36 × 601.18
  4. Step 4: Simplify right side
    933.28x = 773,935.08
  5. Step 5: Solve for x
    x = 773,935.08/933.28
  6. Step 6: Final answer
    x = 829.26

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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.