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Finding the Fourth Proportional to 1,463.76, 2,193.96 and 597

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Solution

The fourth proportional to 1,463.76, 2,193.96 and 597 is: 894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.76 : 2,193.96 = 597 : x
  2. Step 2: Convert to fraction form
    1,463.76/2,193.96 = 597/x
  3. Step 3: Cross multiply
    1,463.76x = 2,193.96 × 597
  4. Step 4: Simplify right side
    1,463.76x = 1,309,794.12
  5. Step 5: Solve for x
    x = 1,309,794.12/1,463.76
  6. Step 6: Final answer
    x = 894.81

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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.