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Finding the Fourth Proportional to 1,329.12, 1,993.68 and 463.42

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Solution

The fourth proportional to 1,329.12, 1,993.68 and 463.42 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.12 : 1,993.68 = 463.42 : x
  2. Step 2: Convert to fraction form
    1,329.12/1,993.68 = 463.42/x
  3. Step 3: Cross multiply
    1,329.12x = 1,993.68 × 463.42
  4. Step 4: Simplify right side
    1,329.12x = 923,911.19
  5. Step 5: Solve for x
    x = 923,911.19/1,329.12
  6. Step 6: Final answer
    x = 695.13

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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.