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Finding the Fourth Proportional to 946.20, 1,418.16 and 483.84

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Solution

The fourth proportional to 946.20, 1,418.16 and 483.84 is: 725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.20 : 1,418.16 = 483.84 : x
  2. Step 2: Convert to fraction form
    946.20/1,418.16 = 483.84/x
  3. Step 3: Cross multiply
    946.20x = 1,418.16 × 483.84
  4. Step 4: Simplify right side
    946.20x = 686,162.53
  5. Step 5: Solve for x
    x = 686,162.53/946.20
  6. Step 6: Final answer
    x = 725.18

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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.