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Finding the Fourth Proportional to 1,463.13, 2,194.88 and 597.33

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Solution

The fourth proportional to 1,463.13, 2,194.88 and 597.33 is: 896.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.13 : 2,194.88 = 597.33 : x
  2. Step 2: Convert to fraction form
    1,463.13/2,194.88 = 597.33/x
  3. Step 3: Cross multiply
    1,463.13x = 2,194.88 × 597.33
  4. Step 4: Simplify right side
    1,463.13x = 1,311,064.68
  5. Step 5: Solve for x
    x = 1,311,064.68/1,463.13
  6. Step 6: Final answer
    x = 896.07

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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.