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Finding the Fourth Proportional to 946.28, 1,416.42 and 534.19

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Solution

The fourth proportional to 946.28, 1,416.42 and 534.19 is: 799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.28 : 1,416.42 = 534.19 : x
  2. Step 2: Convert to fraction form
    946.28/1,416.42 = 534.19/x
  3. Step 3: Cross multiply
    946.28x = 1,416.42 × 534.19
  4. Step 4: Simplify right side
    946.28x = 756,637.40
  5. Step 5: Solve for x
    x = 756,637.40/946.28
  6. Step 6: Final answer
    x = 799.59

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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.