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Finding the Fourth Proportional to 946.40, 1,306.10 and 548.19

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Solution

The fourth proportional to 946.40, 1,306.10 and 548.19 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.40 : 1,306.10 = 548.19 : x
  2. Step 2: Convert to fraction form
    946.40/1,306.10 = 548.19/x
  3. Step 3: Cross multiply
    946.40x = 1,306.10 × 548.19
  4. Step 4: Simplify right side
    946.40x = 715,992.33
  5. Step 5: Solve for x
    x = 715,992.33/946.40
  6. Step 6: Final answer
    x = 756.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.