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Finding the Fourth Proportional to 946.79, 1,306.71 and 553.73

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Solution

The fourth proportional to 946.79, 1,306.71 and 553.73 is: 764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.79 : 1,306.71 = 553.73 : x
  2. Step 2: Convert to fraction form
    946.79/1,306.71 = 553.73/x
  3. Step 3: Cross multiply
    946.79x = 1,306.71 × 553.73
  4. Step 4: Simplify right side
    946.79x = 723,557.99
  5. Step 5: Solve for x
    x = 723,557.99/946.79
  6. Step 6: Final answer
    x = 764.23

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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.