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Finding the Fourth Proportional to 922.94, 1,382.27 and 597.32

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Solution

The fourth proportional to 922.94, 1,382.27 and 597.32 is: 894.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.94 : 1,382.27 = 597.32 : x
  2. Step 2: Convert to fraction form
    922.94/1,382.27 = 597.32/x
  3. Step 3: Cross multiply
    922.94x = 1,382.27 × 597.32
  4. Step 4: Simplify right side
    922.94x = 825,652.10
  5. Step 5: Solve for x
    x = 825,652.10/922.94
  6. Step 6: Final answer
    x = 894.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.