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Finding the Fourth Proportional to 946.73, 1,306.28 and 553.67

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Solution

The fourth proportional to 946.73, 1,306.28 and 553.67 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.73 : 1,306.28 = 553.67 : x
  2. Step 2: Convert to fraction form
    946.73/1,306.28 = 553.67/x
  3. Step 3: Cross multiply
    946.73x = 1,306.28 × 553.67
  4. Step 4: Simplify right side
    946.73x = 723,245.28
  5. Step 5: Solve for x
    x = 723,245.28/946.73
  6. Step 6: Final answer
    x = 763.94

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Why These Related Problems?

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